Ex 13.2, 2 - Find derivative of 99x at x = 100 - Class 11 - Derivatives by 1st principle - At a point

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  1. Chapter 13 Class 11 Limits and Derivatives
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Ex 13.2, 2 Find the derivative of 99x at x = 100. Let f (x) = 99x We need to find derivative of f(x) at x = 100 i.e. f (100) We know that f (x) = lim h 0 f x + h f (x) h Now, f(x) = 99 x So, f(x + h) = 99 (x + h) Putting values f (x) = lim h 0 99 + 99 h = lim h 0 99 + 99 99 = lim h 0 99 = lim h 0 99 = 99 Thus f (x) = 99 Putting x = 100 f (100) = 99 Hence f (100) = 99

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