F(x) = e^(2x) and g(x) = lnx. what is the derivative of f(g(x)) at x=e

  • Thread starter meredith
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  • #1
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Homework Statement


f(x) = e^(2x) and g(x) = lnx. what is the derivative of f(g(x)) at x=e


Homework Equations


dy/dx = f'g(x) x g'(x)


The Attempt at a Solution


i cant figure it out!
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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Try it! What's f'(x)? g'(x)? f'(g(x))?
 
  • #3
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remember your chain rule:
[tex][f(g(x))]'=f'(g(x))\cdot g'(x)[/tex]
take each derivative separately and put it all together if it seems too complicated, that helps me a lot
 

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