Derivative of e 2x

Derivative of e 2x Derivative of e 2x means we have to find the differentiation of e^2x. To understand we should first understand that the differentiation of e^x is e^x. Now in this case x is replaced by the 2x. So now we will solve the differentiation of e^2x in this way:- Let y =e^2x, y = e^z Therefore, z = 2x. We know that, dy/dx = (dy/dz). (dz/dx) So dy/dz = e^z And dz/dx = d (2x)/dx = 2 Hence dy/dx = e^z. 2 By substituting the value of x, We get dy/dx = (e^2x). 2 This can be easily understood by the following below mentioned examples. Question 1: Find the differentiation of 2 (e^2x) with respect to x. Solution: Let y = 2 (e^2x). We know that d (ky)/dx = k (dy/dx), Here k is constant So d (2 (e^2x))/ dx = 2 (d (e^2x)/ dx) (Because here 2 is a constant term, hence it comes out from the derivative. Therefore by definition dy/dx = 2 (e^2x) (2) So dy/ dx = 4 (e^2x) Hence, d (2 (e^2x))/ dx = 4 (e^2x). Question 2: Find the differentiation of x + e^2x with respect to x. Solution: Let y = x + e^2x Now first of all we will apply the sum rule of differentiation, Therefore, dy/dx = dx/dx + d (e^2x)/dx So dy/dx = 1 + d (e^2x)/dx (Because dx and dx will cancels out) After solving, dy/dx = 1 + 2 (e^2x) Hence d(x + e^2x)/ dx = 1 + 2 (e^2x).

5 Popular Holiday Songs That Will Get Everyone Singing

5 Popular Holiday Songs That Will Get Everyone Singing Suzy S. Ready to get into the holiday spirit? Here, Hayward, CA singing teacher Molly R.  shares her top picks for popular songs to sing, and where to find Christmas sheet music to find additional ideas It’s that time of year already! We voice teachers just love it as so many of our students want to take a break from their usual repertoire and sing holiday music. There are so many fantastic ones to choose from, classic and current. Here are a few ideas of some songs to consider that will get you in the holiday spirit! So, get the Christmas sheet music ready and start singing! Here are a few ideas of some songs to consider that will get you in the holiday spirit! 1) The Christmas Song Originally performed by Nat King Cole, what’s not to love about this one? This song is a true crowd-pleaser and its medium vocal range is appropriate for a huge variety of voices, young and old! 2) Rockin’ Around the Christmas Tree Brenda Lee was the first to sing this VERY fun, up-tempo song! This is yet another one that would suit a wide variety of voice types. I dare you to try to be still while singing this. You can’t! 3) It’s the Most Wonderful Time of the Year The late Andy Williams really shined when he performed this song. It was one of his signatures! It’s so easy to get into the holiday spirit with this song that singers of all ages just love to sing. 4) The Christmas Song Now don’t get confused! This “Christmas Song” is a completely different one, made popular by Alvin and the Chipmunks. This is a top choice of the kids I work with! 5) All I Want for Christmas is You Mariah Carey introduced this big, showy number 20 years ago and we’ve all been singing it ever since! This is consistently the top choice among my students every year. Bring out your inner diva (or divo!) and have a blast with this one. Whether you want to polish these songs for performance or just sing for the sheer joy of it, ask your voice teacher what other great Christmas sheet music may suit you! He or she is likely to have lots of great ideas.  Also, the temptation may be to take a break from voice lessons during this hectic time of year, but the truth is that holiday music is a wonderful stress reducer. So make time for lessons this month if you can there are too many great holiday songs to sing! You can easily find these great songs and many more on Musicnotes.com or Sheet Music Plus. These sites make it super easy for you to buy and print digital downloads of your Christmas sheet music instantly so you can get to singing and spreading holiday cheer! Molly R. teaches online and in-person singing lessons in Hayward, CA. Her specialties include teaching beginner vocalists, shy singers, children, teens, lapsed singers, and older beginners. She joined TakeLessons in November 2013.  Learn more about Molly  here! Interested in Private Lessons? Search thousands of teachers for local and live, online lessons. Sign up for convenient, affordable private lessons today! Search for Your Teacher Photo  by  deltaMike

Reciprocal Math Online Tutoring - Math Homework Help

Reciprocal Math Online Tutoring - Math Homework Help Math has many mathematical operations used to solve different kind of numerical, algebraically and exponential questions. Some of the most commonly used operations are addition, subtraction, multiplication and division. The reciprocal operation in math is the expression or term which when multiplied to the other term has a product of unity or one. Therefore the reciprocal operation for multiplication is division and the reciprocal operation for division is multiplication. This concept is very useful to solve many mathematical questions. Example 1: Find the reciprocal for the number 2? Solution: Reciprocal is the value when multiplied to 2 gives 1. Let the reciprocal number be x. This gives 2 * x = 1. Divide both sides of the equation by 2, to get x all by itself. (2 * x) /2 = 1 /2; x = 1/2. Hence reciprocal of 2 is 1/2 Example 2: Find the reciprocal for the following numbers a) 1/10. b) 2/5. Solution: The reciprocal of the given numbers are: a) Reciprocal is the value when multiplied to 1/10 gives 1. Let the reciprocal number be x. This gives (1/10) * x = 1. Multiply both sides of the equation by 10, to get x all by itself. (1/10 * x) *10 = 10; x = 10. Hence reciprocal of 1/10 is 10. b) Reciprocal is the value when multiplied to 2/5 gives 1. Let the reciprocal number be x. This gives (2/5) * x = 1. Multiply both sides of the equation by 5/2, to get x all by itself. (2/5 * x) (5/2) = 5/2; x = 5/2. Hence reciprocal of 2/5 is 5/2.

Biology Tutoring One of The Best and The Unique Way to Learn the Subject in Easier Manner

Biology Tutoring One of The Best and The Unique Way to Learn the Subject in Easier Manner In school when we enter the high school, the science subjects get divided into three basic subjects and they are physics, chemistry and biology. Every subject is far different from the other and this is the reason why every subject needs special attention and special approach towards knowing it properly. Some deal with chemical theories and some deal with the speed and light theories. For me physics and chemistry were the scary subjects as it took a lot of time for me to know the subject well, still I was unable to cope up with the subjects. But biology was a student that I being a student used to enjoy a lot. It was interesting as well as much knowledge oriented. It helps you to know a living organism much better way. Biology Tutoring- Best and efficient teachers for better teaching purpose Biology comprises of interesting facts that is related with the parts of the body. It helps you to know a human body well. It is very much interesting to know that what the living body comprises of. Every living being is different from the other. The difference is not only on the basis of who the look, but it is also on the basis of what are the internal features that they have. The subject comprises of different types of interesting facts on different phases of a living organism life cycle. There are very few students who dislike this subject. But for those who cannot get deeper into the meaning of the subject they need the help of a tuition teacher. A good tuition teacher can help you to know the subject on a much better note. Web based teacher are now a day available very easily and within very less time gap. You can get and search any institute that provides you with the e-learning courses and admit yourself in the Biology tutoring classes that are available. Biology is a subject that is based on the study of how a life exists, how it survives and how it with every kind it changes. Biology also has a lot of categories in it and some of them are aerobiology, bio informatics, biomedical research, biotechnology, ecology, genetics, hematology, molecular biology, oncology, zoology etc. every category is specified to get into the details of some of the important disease or any body part and problems related to them. Online teachers help to know the subject very well. A student can get deep into the subject through the help of a good and expert teacher only. In today’s time it is the most flexible way of attaining knowledge as high qualified teachers are present to help you out through computers and internet connection by their side. The entire process of teaching and learning is conducted through the help of internet. Video conferencing, tele conferencing, online chats and emails helps the whole process to be completed. If a student wants to build up a career in life sciences and medicines then they should get to know about what and the inner circle of biology or living body organism. Any online teacher also makes a point to help a student to cope up with their weak points as well. Sometimes it so happens that the practical portion is also taught by the online teacher only and a student get more than what they wanted at one point of time. Biology Homework Help Online- Helps you in solving your homework problems as well When we sit to gather the benefits of an online teacher, the points seem to be less but the number of advantages are set high each time it is sorted out. It is the most convenient and the easiest way for any student as here you do not waste your enough time and energy and also you can avail the tuition classes anytime you feel. You can get the comfort of your home at the time of your class even. Biology homework help online is also a great benefit or say a good advantage that is provided by any of the online teacher. The homework is also been conducted with the help of efficient teachers by your side. This helps a student to grow an inner confidence in them and also helps in putting up a good reputation in the class or gearing up with the high grades.  A good grade is necessary for better future prospect. It is important for any student to know what they want to achieve and thus it brings in lot of satisfaction for any student in them. Biology Tutor- To increase your grades efficiently and instantly The online teacher is good with explaining a subject as well. When you got to know a subject well then you can easily go for much better explaining other as well. At a good e-learning institute you are sure to get this help only. 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Critical Reasoning Question 7-High School Curriculum - Private Tutoring

Critical Reasoning Question 7-High School Curriculum BobbiM Feb 9, 2014 The local high school students have been clamoring for the freedom to design their own curricula.  Allowing this would be as disastrous as allowing 3-year-olds to choose their own diets.  These students have neither the maturity nor the experience to equal that of the professional educators now doing the job. Which of the following statements, if true, would most strengthen the above argument? A.  High school students have less formal education than those who currently design the curricula. B.  3-year-olds do not, if left to their own devices, choose healthful diets. C.  The local high school students are less intelligent than the average teenager. D.  Individualized curricula are more beneficial to high school students than are the standard curricula, which are rigid and unresponsive to their particular strengths and weaknesses. E.  The ability to design good curricula develops only after years of familiarity with educational life. Think you know the answer? The correct answer is E. first, we need to understand the structure of the argument.  Here the statement, Allowing this would be as disastrous as clues us into the authors opinion.  Assumption:  One needs maturity and experience to design curricula.  If the assumption were true, the argument would be strengthened.  Check the answer choices, and look for one that affirms the assumption.  (A) is just a restatement of the evidence; this choice adds no new information. In (B) the argument made an analogy:  Allowing students to make their own curricula is as disastrous as letting 3-year-olds choose their own diets.  If an argument uses an analogy to make a point, it had  better do so effectively.  The better the analogy, the stronger the argument.  This choice does strengthen the argument by showing the analogy to be true.  But the question asks for the best strengthener and a more relevant strengthener may be present. (C) is a classic faulty comparison choice; it is also out of scope.  The author doesnt distinguish between local high school students and average teenagers.  Moreover, the focus is on experience and maturity, not intelligence.  (D) shifts the focus of the argument from who should or should not design curricula to what kind of curricula is best.  Notice the scope change in this choice.  Its tempting, especially since it brings up an intelligent point about tailoring to individuals, but thats topic for a different discussion.  The best strengthener is (E), citing the experience needed to design curricula.

Improved Academic Performance through Better Nutrition

Improved Academic Performance through Better Nutrition Improving Academic Performance Numerous new studies show a promising link between good nutrition and optimal academic performance. So, let’s explore whether you should start drinking green smoothies and munching on kale chips to increase your likelihood of getting that ACT score or grade you want (to use a few examples of strategies we've encountered...). Starting at birth studies show that nutrition can drive intellectual development, as children who breastfeed were associated with better academic and intellectual performance (Horwood et al., 1998). Indeed, Horwood’s study actually showed small but significant performance increase that was both pervasive across various standards and long lasting. A 2008 study by Florence, in the Journal of School Health, further illustrates the validity of this claim by surveying 5,800 5th grade students in Nova Scotia, Canada in one of the largest nutritional cohort studies ever done in schoolchildren. After assessing the students on several factors to measure the effects of diet quality on academic performance, multilevel regression methods were used and data was adjusted for gender and socioeconomic status of their parents. The data clearly showed not only an association between diet quality and academic performance, but it also helped identify specific dietary factors that contributed to this a ssociation (Florence et al, 2008). Tip #1. Breastfeed your children (if you can). So it seems like “we are what we eat” right from birth. If that is indeed the case, what should we be doing to maximize our academic potential in the middle school through graduate school years? You’ve probably heard about the “most important meal of the day”. Yes, I’m talking about breakfast! A multitude of new data is showing that consuming some tasty eggs or oatmeal in the morning after you wake up can have benefits ranging from metabolism stimulation to increased energy levels, increased focus and even weight loss! Indeed, a survey study of breakfast eaters vs. non-breakfast eaters showed that although eaters of breakfast generally consumed on average more calories per day, there was no prevalence of obesity or overweight tendencies in breakfast eaters (Barr et al., 2015). Tip #2. Simply eat breakfast! So far, the good news is that eating more food (such as breakfast) will make you more prone to better health and smarts! What if I now told you that eating fatty food would improve your cognition too? Sound crazy? It’s true! But not just any fats. So if you were on your way out the door to grab some Mickey D’s for your pre-study snack, think again! The fats your body, and more importantly, your brain needs are called Medium Chain Triglycerides (MCT’s). These fat molecules are able to readily travel the body and enter mitochondria, our cellular powerhouse, without the need of special transport molecules called chylormicrons (Page et al., 2009). They are found naturally in coconut oil and palm kernel oil, and medium chain triglycerides are also sold as dietary supplements. You will soon see that the last dietary tip in this article is to eat less refined sugars. Normally, your body burns sugar first for energy. However, MCT’s provide your body with an alternate fuel source that is readily absorbed and shown to increase cognitive performance. Studies also show that consuming omega 3 fats, typically found in nuts like almonds and fish like salmon, have positive effects on infant brain development, adult ability to focus, and Alzheimer’s disease. Tip #3. Eat good fats. This one might sound like a “no-brainer”, but genuinely ask yourself this question: Are you drinking enough water? Indeed, this is a question you have probably pondered many times before. If you are most Americans, the answer to that question is most likely “No!” A 2013 study by Riebl demonstrated mild dehydration (i.e. 1â€"2% body water loss) might in fact impair cognitive performance. So do yourself a favor and stay hydrated during those cram sessions! Tip #4. Drink enough water. There’s one more factor we shall discuss in regards to modulating diet to maximize academic performance. I’d like to call my friend Captain Obvious to the rescue here. Here’s what Captain Obvious has to say, “eating junk foods, especially with too much refined sugar, is bad for you, your health and your grades!” Indeed, a 2015 study by Burrows published in Public Health Nutrition demonstrated worse academic performance in Language Mathematics in students that ate unhealthy snacks at school. There’s a barrage of new research surfacing on the negative effects of refined sugar in particulr. Some studies show that refined sugar is just as addicting has hard drugs such as cocaine or heroin! How the sugar industry can get away with something like that is a discussion for another time. For now, steer clear of the Twinkies and Cheetos and opt for the apple and broccoli! Tip #5. Eat less sugar. Let’s sum up the dietary changes you can make today to improve your grades and academic performance: Breastfeeding: Okay, so this isn’t something a student can do, but it’s definitely something an expecting parent can take into account! Eat Breakfast Medium Chain Triglycerides (MCT’s) and Omega 3: Coconut Oil, Avocados, MCT oil, Almonds, Walnuts and Salmon Drink more water! Eat less refined sugar and junk food Whether eating healthy and good grades was something already obvious to you, or whether this information was new to you, either way, the science shows by taking control of your diet and nutrition, you can take control of your academic performance! Such research calls for emphasis on nutrition programs offered by schools to encourage healthy eating. Hopefully, over time, we can change our ways and develop a generation of smarter, healthier students! About the Author Gaurav Dubey is a biology, chemistry, mathematics, and ACT/SAT tutor from Naperville, IL who has worked with MyGuru for several years. He attended the University of Miami, where he earned his B.S. in Biology and his B.A. in Philosophy. He went on to earn his Master's of Science in Biotechnology at Rush University before working at the John P. Hussman Institute for Human Genomics and creating his first scholarly publication on using stem cells to create neurological disease models. Recently, he was accepted to the University of Miami's Miller School of Medicine to earn his PhD as a PIBS (Program in Biological Sciences Student). He is also the founder of The Biolitics Podcast, a show aimed at discussing modern day, hot button biopolitical and bioethical issues that are in constant debate. More than just a show, BIOLITICS is a movement that attempts to make science more accessible to everyone in hopes of inspiring minds, both young and old everywhere, to view the world through the lens of the natural born scientist we all have within us. References Barr, S. I., DiFrancesco, L., Fulgoni, V. L. (2015). Association of breakfast consumption with body mass index and prevalence of overweight/obesity in a nationally-representative survey of canadian adults. Nutrition Journal, 15, 10.1186/s12937-016-0151-3. doi:151 [pii] Correa-Burrows, P., Burrows, R., Orellana, Y., Ivanovic, D. (2015). The relationship between unhealthy snacking at school and academic outcomes: A population study in chilean schoolchildren. Public Health Nutrition, 18(11), 2022-2030. doi:10.1017/S1368980014002602 [doi] Florence, M. D., Asbridge, M., Veugelers, P. J. (2008). Diet quality and academic performance. The Journal of School Health, 78(4), 209-15; quiz 239-41. doi:10.1111/j.1746-1561.2008.00288.x [doi] Horwood, L. J., Fergusson, D. M. (1998). Breastfeeding and later cognitive and academic outcomes. Pediatrics, 101(1), E9. Page, K. A., Williamson, A., Yu, N., McNay, E. C., Dzuira, J., McCrimmon, R. J., Sherwin, R. S. (2009). Medium-chain fatty acids improve cognitive function in intensively treated type 1 diabetic patients and support in vitro synaptic transmission during acute hypoglycemia. Diabetes, 58(5), 1237-1244. doi:1557 [pii] Riebl, S. K., Davy, B. M. (2013). The hydration equation: Update on water balance and cognitive performance. ACSM's Health Fitness Journal, 17(6), 21-28. doi:10.1249/FIT.0b013e3182a9570f [doi]

A-Level Biology

A-Level Biology Demand for one-to-one private tuition for A-Level Biology stands at second place (after Maths) on our search statistics this week. Biology is a natural science concerned with the study of life and living organisms together with their characteristics and behaviours. How species and individuals come into existence and the interactions they have with one another and with their environment. Contrary to popular belief, biology can be quite numerical so a basic understanding of maths is beneficial, if not essential. AS level Biology introduces you to the basic principles of biology, and this final mark makes up 50% of the final A-level grade. Biology is one of the most popular A-Level subjects in the country. Many students enjoy the subject so much they eventually choose a biologically related degree course. Obtaining an A-level in Biology will provide you with a broad knowledge of how living systems work, including the principles of genetics, molecules, taxonomy, global warming, bacteria and viruses just to mention a few. Biology is applied in a wide range of careers: veterinary, medicine, food science, environmental management, bioinformatics, genetic engineering and nano-technology. It is very much a science of the future that can offer exciting career opportunities. If you are looking for guidance with your A-level studies, First Tutors can assist! We have Biology tutors that can help you obtain the A-level grade you need. Take a look at the profiles below. Best of luck! https://www.firsttutors.com/uk/tutor/patrick.chemistry.biology.english.history https://www.firsttutors.com/uk/tutor/m.-sohaib.biology.maths.chemistry.medicine.physics https://www.firsttutors.com/uk/tutor/rachel.english.biology.chemistry.combined-science.medicine.study-skills