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