B) If \( y=\sin x \cdot \cos x \), show that \( \frac{d y}{d x}=\cos 2 x \)

B) If \( y=\sin x \cdot \cos x \), show that \( \frac{d y}{d x}=\cos 2

1.	B) If \( y=\sin x \cdot \cos x \), show that \( \frac{d y}{d x}=\cos 2 x \)
Answer» y=sinx.cosx by differentiation dy/dx=cosx.cosx-sinx.sinx diff(U.V)=(diff U).V+U.(diff V) =cos²x-sin²x =cos2x (by formula) diff (sinx)=cosx diff (cosx)=-sinx so that if y=sinx.cosx dy/dx=cos2x

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B) If \( y=\sin x \cdot \cos x \), show that \( \frac{d y}{d x}=\cos 2 x \)

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