Differentiate (a^x)^2 . Sol. Let y=(a^x)^2 Using power and chain rule Y'=2(a^x)(a^x.ln a)=2(a^2x)(ln a). Or Y=(a^x)^2=a^2x ln y=ln a^2x =2x•ln a Differentiate 1/y•y'=2•ln a Y'=y•2•ln a =2(a^x)^2•ln a.
How can I find the entire unit that this lesson is involved in on the web site? I'm a member and all the calculus stuff I can find is from earlier times.
A list of steps to help find this lesson 1. First click on Try Lessons 2. Scroll down until you see Calculus 3. Then click on Calculus and it will give you a list of calculus course options 4. Click on Calculus 1 Tutor 5. Next click on Calculus 1: Extra practice with Derivatives 6. Last but not least scroll down to the bottom of page and lessons 18-20 cover how to take the derivatives of log and exponential functions.
@@Frank-lk8ox I think you can do the following: 1. First click on Try Lessons 2. Scroll down until you see Calculus 3. Then click on Calculus and it will give you a list of calculus course options 4. Click on Calculus 1 Course 5. Click Unit 2, Lesson 14
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Differentiate (a^x)^2 .
Sol. Let y=(a^x)^2
Using power and chain rule
Y'=2(a^x)(a^x.ln a)=2(a^2x)(ln a).
Or
Y=(a^x)^2=a^2x
ln y=ln a^2x
=2x•ln a
Differentiate
1/y•y'=2•ln a
Y'=y•2•ln a
=2(a^x)^2•ln a.
How can I find the entire unit that this lesson is involved in on the web site? I'm a member and all the calculus stuff I can find is from earlier times.
A list of steps to help find this lesson
1. First click on Try Lessons
2. Scroll down until you see Calculus
3. Then click on Calculus and it will give you a list of calculus course options
4. Click on Calculus 1 Tutor
5. Next click on Calculus 1: Extra practice with Derivatives
6. Last but not least scroll down to the bottom of page and lessons 18-20 cover how to take the derivatives of log and exponential functions.
@@Frank-lk8ox I think you can do the following:
1. First click on Try Lessons
2. Scroll down until you see Calculus
3. Then click on Calculus and it will give you a list of calculus course options
4. Click on Calculus 1 Course
5. Click Unit 2, Lesson 14
too bad this channel doesn't do AMA sessions :(