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Find the derivatives of the function:f(x)=exsinx.

Short Answer

Expert verified

The derivative of f(x)=exsinxisex{sinx+cosx}.

Step by step solution

01

Given information 

The given expression isf(x)=exsinx.

02

Simplification 

f'(x)=ddx{exsinx}=sinxddxex+exddx{sinx}=exsinx+excosx=ex{sinx+cosx}Hence,f'(x)=ex{sinx+cosx}.

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