# Example 7 - Chapter 13 Class 11 Limits and Derivatives

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 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 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.