hi can someone lease help with the following question as i have done anythng this hard with the composite/chain rule

Q) use the composite rule to differentiate the function

f(x)= e^cos x+ sin x

thanx

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- May 28th 2009, 02:47 AMredieeee_babieeeecomposite / chain rule....differentiate
hi can someone lease help with the following question as i have done anythng this hard with the composite/chain rule

Q) use the composite rule to differentiate the function

f(x)= e^cos x+ sin x

thanx - May 28th 2009, 02:59 AMpickslides
is your equation $\displaystyle f(x) = e^{cos(x)}+sin(x)$ or $\displaystyle f(x) = e^{cos(x)+sin(x)}$ ?

either way you should employ the rule

$\displaystyle \frac{d}{dx}\left(e^{f(x)}\right) = f'(x)e^{f(x)}

$ - May 28th 2009, 03:04 AMredieeee_babieeee
its the second option ....http://www.mathhelpforum.com/math-he...065983c7-1.gif

- May 28th 2009, 03:20 AMcraig
- May 29th 2009, 02:47 AMredieeee_babieeee
so can i just check that the anwser will be

http://www.mathhelpforum.com/math-he...065983c7-1.gif-sin(x)+cos(x)

thanx - May 29th 2009, 02:53 AMcraig