1. Chapter 12 Class 11 Limits and Derivatives
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  3. Ex 12.2
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Ex 12.2, 3 - Chapter 12 Class 11 Limits and Derivatives

Last updated at Dec. 16, 2024 by Teachoo

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Ex 12.2, 3 Find the derivative of 99x at x = 100 Let f (x) = x We need to find derivative of f(x) at x = 100 i.e. f’ (100) We know that f’ (x) = (π‘™π‘–π‘š)┬(β„Žβ†’0)⁑〖(𝑓(π‘₯ + β„Ž) βˆ’ 𝑓 (π‘₯))/β„Žγ€— Here, f(x) = 99x So, f(x + h) = 99(x + h) = 99x + 99h Putting values f’ (x) = lim┬(hβ†’0)⁑〖((99π‘₯ +99β„Ž) βˆ’ 99π‘₯)/β„Žγ€— = lim┬(hβ†’0)⁑〖(99π‘₯ +99β„Ž βˆ’ 99π‘₯)/β„Žγ€— = lim┬(hβ†’0)⁑〖99β„Ž/β„Žγ€— = lim┬(hβ†’0) 99 = 99 Hence, f’(x) = 99 Putting x = 100 f’(100) = 99 So, derivative of 99x at x = 100 is 99
  1. Chapter 12 Class 11 Limits and Derivatives
  2. Serial order wise

    3. Ex 12.2

    Examples →
Examples →
Chapter 12 Class 11 Limits and Derivatives
Serial order wise

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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