# Example 21 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Example 21 Find the derivative of the function given by 𝑓 (𝑥) = sin(𝑥2). Let y= sin(𝑥2) We need to find derivative of 𝑦, 𝑤.𝑟.𝑡.𝑥 i.e. 𝑑𝑦𝑑𝑥 = 𝑑(sin𝑥2)𝑑𝑥 = cos x2 . 𝑑(𝑥2)𝑑𝑥 = cos x2 . 2𝑥2−1 = cos𝑥2 (2𝑥) = 𝟐𝒙 . 𝒄𝒐𝒔𝒙𝟐

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About the Author

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.