Example 8 - Chapter 12 Class 11 Limits and Derivatives

Last updated at April 16, 2024 by

Example 8 - Find derivative of f(x) = 3 at x = 0, x = 3 - Derivatives by 1st principle - At a point

Example 8 - Chapter 13 Class 11 Limits and Derivatives - Part 2

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Example 8 Find the derivative of f(x) = 3 at x = 0 and at x = 3. f(x) = 3 We need to find Derivative of f(x) at x = 0 & at x = 3 i.e. f (0) & f (3) We know that f'(x) = lim h 0 f x + h f(x) h Here, f (x) = 3 So, f (x + h) = 3 Putting values f (x) = lim h 0 3 3 h f (x) = lim h 0 3 3 h f (x) = lim h 0 0 h f (x) = 0 Thus, f (x) = 0 Putting x = 0 f (0) = 0 & Putting x = 3 f (3) = 0 Hence, derivative f (x) at x = 0 & at x = 3 is 0

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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