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

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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.