Find the derivative of the following function: (x² + 1) cos x

Solution:

The given function is f(x) = (x² + 1) cos x.

Using the product rule, its derivative is,

d/dx (f(x)) = (x² + 1) d/dx (cos x) + cos x d/dx (x² + 1)

= (x² + 1) (- sin x) + cos x (2x)  (using derivative formulas)

= -x² sin x - sin x + 2x cos x

NCERT Solutions Class 11 Maths Chapter 13 Exercise ME Question 23

Find the derivative of the following function: (x² + 1) cos x

Summary:

The derivative of the given function (x² + 1) cos x is -x² sin x - sin x + 2x cos x