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Example 21 - Find derivative of f(x) = sin x^2 - Teachoo


Example 21 Find the derivative of the function given by 𝑓 (π‘₯) = sin⁑(π‘₯2).Let y= sin⁑(π‘₯2) We need to find derivative of 𝑦, 𝑀.π‘Ÿ.𝑑.π‘₯ i.e. 𝑑𝑦/𝑑π‘₯ = (𝑑(sin⁑〖π‘₯^2)γ€—)/𝑑π‘₯ = cos x2 . (𝒅(π’™πŸ))/𝒅𝒙 = cos x2 . (γ€–2π‘₯γ€—^(2βˆ’1) ) = cos⁑π‘₯2 (2π‘₯) = πŸπ’™ . π’„π’π’”β‘π’™πŸ

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.