Example 5 - Chapter 12 Class 11 Limits and Derivatives

Last updated at April 16, 2024 by

Example 5 - Find derivative at x = 2 of f(x) = 3x - Examples

Example 5 - Chapter 13 Class 11 Limits and Derivatives - Part 2

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Example 5 Find the derivative at x = 2 of the function f(x) = 3x. f (x) = 3x We know that, f’(x) = lim﷮h→0﷯ f﷮ x+h﷯−f(x)﷯﷮h﷯ Now, f(x) = 3x So, f(x + h) = 3 (x + h) f’ (x) = lim﷮h→0﷯ 3﷮ x + h﷯ − 3 (x)﷯﷮h﷯ Putting x = 2 f’ (2) = lim﷮h→0﷯ 3﷮ 2 + h﷯ − 3 (2)﷯﷮h﷯ = lim﷮h→0﷯ 6 + 3ℎ − 6﷮h﷯ = lim﷮h→0﷯ 3ℎ + 0﷮h﷯ = lim﷮h→0﷯ 3ℎ﷮h﷯ = lim﷮h→0﷯ 3 = 3 Hence the derivative of the function f(x) at x = 2 is 3 i.e. f’(2) = 3

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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