Ex 12.2, 2 - Chapter 12 Class 11 Limits and Derivatives

Last updated at Dec. 16, 2024 by

Ex 13.2, 2 - Find derivative of x at x = 1 - Class 11 Limits

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

Share on WhatsApp

Transcript

Ex 12.2, 2 Find the derivative of x at x = 1. Let f (x) = x We need to find derivative of f(x) at x = 1 i.e. f’ (1) We know that f’ (x) = (π‘™π‘–π‘š)┬(β„Žβ†’0)⁑〖(𝑓(π‘₯ + β„Ž) βˆ’ 𝑓 (π‘₯))/β„Žγ€— Here, f(x) = x So, f(x + h) = x + h Putting values f’ (x) = lim┬(hβ†’0)⁑〖((π‘₯ + β„Ž) βˆ’ π‘₯)/β„Žγ€— = lim┬(hβ†’0)⁑〖(π‘₯ + β„Ž βˆ’ π‘₯)/β„Žγ€— = lim┬(hβ†’0)β‘γ€–β„Ž/β„Žγ€— = lim┬(hβ†’0) 1 = 1 Hence, f’(x) = 1 Putting x = 1 f’(1) = 1 So, derivative of x at x = 1 is 1

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