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teachoo.com
Example 21 - Find derivative of f(x) = sin x^2 - Teachoo
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. 𝑑𝑦/𝑑𝑥 = (𝑑(sin〖𝑥^2)〗)/𝑑𝑥 = cos x2 . (𝒅(𝒙𝟐))/𝒅𝒙 = cos x2 . (〖2𝑥〗^(2−1) ) = cos𝑥2 (2𝑥) = 𝟐𝒙 . 𝒄𝒐𝒔𝒙𝟐
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