left f(x)=2^(sin(x))Find f'(x)

waigaK 2021-02-09 Answered

left f(x)=2sin(x)
Find f'(x)

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Expert Answer

Nathanael Webber
Answered 2021-02-10 Author has 117 answers

To compute the derivative of the given function (involving exponentials)
Step 2
Here ,we have used chain rule: If h(x)=p(q(x)), then h(x)=p(q)×q(x)
Write f(x)=2u(x), u(x)=sinx
by chain rule
f(x)=(2u)(derivative wrt u)×u(x)
=2uln(2)cosx
=(ln2)2sinx(cosx)

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