Example 11 - Find derivative of constant function f(x) = a - Examples

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  1. Chapter 13 Class 11 Limits and Derivatives
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Example 11 Find the derivative of the constant function f (x) = a for a fixed real number a. Given f (x) = a ,where a is constant thus, f(x) is a constant function We need to find derivative of f(x) i.e. f’ (x) We know that f’(x) = lim﷮h→0﷯ f﷮ x + h﷯ − f(x)﷯﷮h﷯ Here, f (x) = a So, f (x + h) = a Putting values f’(x) = lim﷮h→0﷯ 𝑎 − 𝑎﷮h﷯ = lim﷮h→0﷯ 0﷮h﷯ = lim﷮h→0﷯ 0 = 0 Thus f’(x) = 0 Hence, derivative of constant function is 0

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.