Find the derivative of the following functions (it is to be understood that a,b,c,d,p,q,r and s are fixed non-zero constants and m and n are integers: a/x⁴ - b/x² + cos x

Solution:

The given function is f(x) =a/x⁴ - b/x² + cos x. It can be written as f(x) = ax^-4 - bx^-2 + cos x.

Using the derivative formula, d/dx (xⁿ) = n x^n-1, the derivative of the given function is

d/dx (f(x)) = a (-4x^-5) - b (-2x^-3) + (- sin x)

= -4a/x⁵ + 2b/x³ - sin x

NCERT Solutions Class 11 Maths Chapter 13 Exercise ME Question 10

Find the derivative of the following functions (it is to be understood that a,b,c,d,p,q,r and s are fixed non-zero constants and m and n are integers: a/x⁴ - b/x² + cos x

Summary:

The derivative of the given function a/x⁴ - b/x² + cos x is -4a/x⁵ + 2b/x³ - sin x