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): 4√x - 2

Solution:

The given function is f(x) = 4√x - 2. It can be written as f(x) = 4x^1/2 - 2.

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

d/dx (f(x)) = 4 d/dx (x^1/2) - d/dx (2)

= 4 (1/2) x^{1/2 - 1} - 0

= 2x^-1/2

= 2/x^1/2

= 2/√x

NCERT Solutions Class 11 Maths Chapter 13 Exercise ME Question 11

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): 4√x - 2

Summary:

The derivative of the given function 4√x - 2 is 2/√x