#### Question

Find the second order derivatives of the following function x cos x ?

#### Solution

We have,

\[y = x \cos x\]

\[\text { Differentiating w . r . t . x, we get }\]

\[\frac{d y}{d x} = \cos x - x\sin x\]

\[\text { Differentiating again w . r . t . x, we get }\]

\[\frac{d^2 y}{d x^2} = - \sin x - \sin x - x\cos x\]

\[ = - \left( 2\sin x + x\cos x \right)\]

Is there an error in this question or solution?

Solution Find the Second Order Derivatives of the Following Function X Cos X ? Concept: Simple Problems on Applications of Derivatives.