Find the derivative of x at x = 1

Solution:

Let f (x) = x

The limit definition of a derivative is,

f' (1) = limₕ→₀ [f (1 + h) - f (1)]/h

= limₕ→₀ [(1 + h) - 1]/h

= limₕ→₀ h/h

= 1

Thus, the derivative of x at x = 1 is 1

NCERT Solutions Class 11 Maths Chapter 13 Exercise 13.2 Question 2

Find the derivative of x at x = 1

Summary:

Thus, the derivative of x at x = 1 is 1