f(x)=cos(xsinx)
f"(x) = -sin(xsinx) [1sinx+cosx(x)]
^ derivative of cos times the stuff inside, then chain rule for the derivative of "stuff inside"
= -sin(xsinx)(sinx+xcosx)
^simplify
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Verified answer
f(x)=cos(xsinx)
f"(x) = -sin(xsinx) [1sinx+cosx(x)]
^ derivative of cos times the stuff inside, then chain rule for the derivative of "stuff inside"
= -sin(xsinx)(sinx+xcosx)
^simplify