Differentiate the following with respect to x:

(3x2 - x + 1)4



To Find: Differentiation


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


Formula used: (yn) = nyn - 1


Let us take y= (3x2 - x + 1)4


So, by using the above formula, we have


(3x2 - x + 1)4 = 4(3x2 - x + 1)3(3x2 - x + 1) = 4(3x2 - x + 1)3(36x - 1) = 4(3x2 - x + 1)3(6x - 1)


Differentiation of y = (3x2 - x + 1)4 is 4(3x2 - x + 1)3(6x - 1)


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