How do you differentiate #f(x)=ln(sin(e^{x}))#?

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How do you differentiate #f(x)=ln(sin(e^{x}))#?

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Answer 1 · 2015-02-24T01:02:48

You can use the Chain Rule where you first derive #ln# as it is then multiply by the derivative of #sin# as it is and finally multiply by the derivative of #e#:
#f'(x)=1/(sin(e^x)]*cos(e^x)*e^x=e^x*cot(e^x)#

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How do you differentiate #f(x)=ln(sin(e^{x}))#?

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