Chain Rule

  • Thread starter delfam
  • Start date
  • #1
34
0

Homework Statement



(cos^3)(e^4(theta))

Homework Equations


f(x)=f(g(x))


The Attempt at a Solution


u=e^49theta))

-3sin^2(e^4(theta)) x e^4(theta)


Just not sure what I'm doing wrong, I know what the answer is I'm just not sure how to get to it.
 

Answers and Replies

  • #2
193
2
For starters, you need to be clearer. Is your problem [tex] cos(e^4\theta)^3 [/tex] ? It's hard to tell from the way you wrote it. If it is, then you need to use the chain rule, which is:

[tex] [f( g(x) )] ' = f'(g(x)) * g'(x). [/tex]
 
  • #3
193
2
The typical way to recall the steps if you're having trouble is:

1. derivative of the outside function, leaving the inside function untouched.
2. multiply by the derivative of the inside function.
 
  • #4
34
0
the question is cos^3 * e^4theta the theta is connected to the raised power of 4.
 
  • #5
193
2
You really need to use LaTeX or appropriately placed parentheses. My comments on the chain rule still apply. Where exactly are you getting stuck?
 

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