Find the derivative

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SujitTiwari · Answer 1 · 2022-06-18T10:16:53+0000

\(\frac{dy}{dx} = \frac{d}{dx}5x^3 sin \, x\)

\(=5x^3 \frac d{dx}sin\,x+ \left(\frac{d}{dx}5x^3\right)sin\,x\)

\(= 5x^3 cos x + 15 x^2 sin x\)

\(= 5x^2 (x\, cos x+ 3 sinx)\)