Check sibling questions


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

  1. Chapter 12 Class 11 Limits and Derivatives
  2. Serial order wise

About the Author

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