Dear Student, Let y = x5 sin x⇒dydx = x5 ×ddxsin x + sin x ×ddxx5⇒dydx = x5 cos x + sin x × 5x4 = x5 cos x + 5 x4 sin x Regards

d/DX ( sinx.x5 )

Dear Student,

Let y = x^{5} . \sin x \Rightarrow \frac{dy}{dx} = x^{5} \times \frac{d}{dx} (\sin x) + \sin x \times \frac{d}{dx} (x^{5}) \Rightarrow \frac{dy}{dx} = x^{5} . \cos x + \sin x \times 5 x^{4} = x^{5} . \cos x + 5 x^{4} . \sin x

Regards