Example 9 - Chapter 12 Class 11 Limits and Derivatives

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Example 9 - Find derivative of f(x) = 10x - Chapter 13 Class 11 - Derivatives by 1st principle - At a general point

Example 9 - Chapter 13 Class 11 Limits and Derivatives - Part 2

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Example 9 Find the derivative of f(x) = 10x. Let f (x) = 10x 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) = 10x So, f (x + h) = 10(x + h) Putting values f’ (x) = lim﷮h→0﷯﷮ 10 x + h﷯ − 10 x﷮ℎ﷯﷯ = lim﷮h→0﷯﷮ 10𝑥 + 10ℎ −10𝑥﷮ℎ﷯﷯ = lim﷮h→0﷯﷮ 10ℎ﷮ℎ﷯﷯ = lim﷮h→0﷯﷮(10)﷯ = 10 Hence, f’(x) = 10

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo