Differentiate the following with respect to x:

cos2(x3)


To Find: Differentiation


NOTE : When 2 functions are in the product then we used product rule i.e


Formula used: (cosa nu) = acosa - 1nu (cos nu) (nu)


Let us take y = cos2(x3)


So, by using the above formula, we have


cos2(x3) = 2 cosx3 ( - sin (x3))3x2 = - 6x2 cos(x3)sin x3


Differentiation of y = cos2(x3) is - 6x2 cos(x3)sin x3


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