Check sibling questions

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

Solve all your doubts with Teachoo Black (new monthly pack available now!)


Transcript

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

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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.