{d over {dx}}({x^2}{e^x}sin x) = | vedclass

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Question

(a) $\frac{d}{{dx}}\left( {{x^2}{e^x}\sin x} \right) = {x^2}\frac{d}{{dx}}\left( {{e^x}\sin x} \right)$$ + {e^x}\sin x\frac{d}{{dx}}({x^2})$
$ = x{e^

Vedclass · Accepted Answer

$x\,{e^x}(2\sin x + x\sin x + x\cos x)$

Vedclass · Answer

(a) $\frac{d}{{dx}}\left( {{x^2}{e^x}\sin x} \right) = {x^2}\frac{d}{{dx}}\left( {{e^x}\sin x} \right)$$ + {e^x}\sin x\frac{d}{{dx}}({x^2})$
$ = x{e^x}(2\sin x + x\sin x + x\cos x)$.

${d \over {dx}}({x^2}{e^x}\sin x) = $

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