Question

find the derivative of following function:-
x^2 sin x + cos 2x

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{y}={\mathrm{x}}^2\sin \mathrm{x}+\cos 2\mathrm{x} \\ \Rightarrow \frac{\mathrm{dy}}{\mathrm{dx}}={\mathrm{x}}^2.\cos \mathrm{x}+\sin \mathrm{x}.2\mathrm{x}-2\sin 2\mathrm{x} \\ \Rightarrow \frac{\mathrm{dy}}{\mathrm{dx}}={\mathrm{x}}^2.\cos \mathrm{x}+2\mathrm{x}\sin \mathrm{x}-2\sin 2\mathrm{x} \end{gathered}$$