Find the derivative of the following function (it is to be understood that a, p, q are fixed non-zero constants): (ax² + sin x) (p + q cos x)

Solution:

The given function is f(x) = (ax² + sin x) (p + q cos x).

Using the product rule, its derivative is,

d/dx (f(x)) = (ax² + sin x) d/dx (p + q cos x) + (p + q cos x) d/dx (ax² + sin x)

= (ax² + sin x) (0 - q sin x) + (p + q cos x) (2ax + cos x)   (using derivative formulas)

= -q sin x (ax² + sin x) + (p + q cos x) (2ax + cos x)

NCERT Solutions Class 11 Maths Chapter 13 Exercise ME Question 24

Find the derivative of the following function (it is to be understood that a, p, q are fixed non-zero constants): (ax² + sin x) (p + q cos x)

Summary:

The derivative of the given function is -q sin x (ax² + sin x) + (p + q cos x) (2ax + cos x)