Which of the following expressions equals ?

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Which of the following expressions equals ddx[x3(2x−1)4]\dfrac{d}{dx}\bigl[x^{3}(2x-1)^{4}\bigr]? (a) x2(2x−1)3(6x−3)x^{2}(2x-1)^{3}(6x-3) (b) x2(2x−1)3(14x−3)x^{2}(2x-1)^{3}(14x-3) (c) 3x2(2x−1)4+4x3(2x−1)33x^{2}(2x-1)^{4}+4x^{3}(2x-1)^{3} (d) 3x2(2x−1)4+8x3(2x−1)43x^{2}(2x-1)^{4}+8x^{3}(2x-1)^{4}

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