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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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)} $
its the second option ....
Originally Posted by redieeee_babieeee its the second option .... As pickslides said, what you need to do is: $\displaystyle \frac{d}{dx}\left(e^{f(x)}\right) = f'(x)e^{f(x)}$ Can you differentiate $\displaystyle cos(x)+sin(x)$?
so can i just check that the anwser will be -sin(x)+cos(x) thanx
Originally Posted by redieeee_babieeee so can i just check that the anwser will be -sin(x)+cos(x) thanx Yep that's right, I'd write it with the $\displaystyle (\cos{x} - \sin{x})$ before the $\displaystyle e^{cos(x)+sin(x)}$ for clarities sake, but that's just me being pedantic $\displaystyle f'(x) = (\cos{x} - \sin{x})e^{cos(x)+sin(x)}$
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