Example 7 - Chapter 13 Class 11 Limits and Derivatives
Last updated at Nov. 15, 2019 by Teachoo
Transcript
Example ,7 Find the derivative of sin x at x = 0. Let f(x) = sin x We know that f’(x) = limh→0 f x + h − f(x)h f(x) = sin x f(x + h) = sin (x + h) Now, f’(x) = limh→0 𝑠𝑖𝑛 𝑥 + ℎ − 𝑠𝑖𝑛 𝑥ℎ f’(x) = limh→0 𝑠𝑖𝑛 𝑥 + ℎ − 𝑠𝑖𝑛 𝑥ℎ Putting x = 0 f’ (0) = limh→0 𝑠𝑖𝑛 0 + ℎ − 𝑠𝑖𝑛 (0)ℎ = limh→0 sinℎ − 0h = limh→0 sinℎ h = 1 Hence the derivative of sin x at x = 0 is 1
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.