Ex 13.2, 3 - Chapter 13 Class 11 Limits and Derivatives

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Ex 13.2, 3 Find the derivative of x at x = 1. Let f (x) = x We need to find derivative of f(x) at x = 1 i.e. f (1) We know that f (x) = lim h 0 f x + h f (x) h Here, f(x) = x So, f(x + h) = x + h Putting values f (x) = lim h 0 + = lim h 0 + = lim h 0 h = lim h 0 1 = 1 Hence, f (x) = 1 Putting x = 1 f (1) = 1 So, derivative of x at x = 1 is 1