Example 10 - Chapter 12 Class 11 Limits and Derivatives

Last updated at Dec. 16, 2024 by

Example 10 - Find derivative of f(x) = x2 - Chapter 13 Limits - Derivatives by 1st principle - At a general point

Example 10 - Chapter 13 Class 11 Limits and Derivatives - Part 2

Go Ad-free

Transcript

Example 10 Find the derivative of f(x) = x2. Given f(x) = x2 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) = x2 So, f (x + h) = (x + h)2 Putting values f’ (x) = lim﷮h→0﷯ 𝑥 + ℎ﷯2 − 𝑥2﷮ℎ﷯ = lim﷮h→0﷯ 𝑥2 + ℎ2 + 2𝑥ℎ − 𝑥2 ﷮ℎ﷯ = lim﷮h→0﷯ ℎ2 + 2𝑥ℎ − 𝑥2 + 𝑥2﷮ℎ﷯ = lim﷮h→0﷯ ℎ ℎ + 2𝑥﷯ + 0﷮ℎ﷯ = lim﷮h→0﷯ ℎ (ℎ + 2𝑥)﷮ℎ﷯ = lim﷮h→0﷯ h + 2x Putting h = 0 = 0 + 2x = 2x Hence f’(x) = 2x

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

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