I have another derivative question, this one's a little more complicated...

Find the derivative of the following:

h(x) = 3e^((sin)(x+2))

I'm having a hard time even getting started on this one...

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- Feb 24th 2010, 02:47 PMJoolsDerivatives cont'd...
I have another derivative question, this one's a little more complicated...

Find the derivative of the following:

h(x) = 3e^((sin)(x+2))

I'm having a hard time even getting started on this one... - Feb 24th 2010, 04:18 PMsatx
- Feb 25th 2010, 12:25 AMmathemagister
What do you mean by (sin)(x+2)? Do you mean:

$\displaystyle h(x) = 3e^{\sin(x+2)}$

Using the chain rule: the derivative of $\displaystyle e^{f(x)}$ is $\displaystyle e^{f(x)} \cdot f'(x)$

$\displaystyle h'(x) = 3e^{\sin(x+2)} \cdot \cos(x+2) \cdot 1 = 3 \cos(x+2) e^{\sin(x+2)}$ - Feb 25th 2010, 12:29 AMmathemagister
- Feb 25th 2010, 06:05 AMJools
Thank you! I do... There's just so many varaitions of the chain rule, I have a hard time determining which one to use... I guess practise will be the key.

- Feb 26th 2010, 04:05 AMHallsofIvy
There is only

**one**chain rule- applied to many different functions.