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

Last updated at April 16, 2024 by

Ex 13.2, 3 - Find derivative of 99x at x = 100 - Class 11

Ex 13.2, 3 - Chapter 13 Class 11 Limits and Derivatives - Part 2

Transcript

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

Ask a doubt
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, Social Science, Physics, Chemistry, Computer Science at Teachoo.