Let . Which of the following correctly represents before any…

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

Problem

Let f(x)=(x2+4x)(2x2−3)f(x)= (x^{2}+4x)(2x^{2}-3). Which of the following correctly represents f′(x)f'(x) before any simplification? (a) (2x+4)(4x)(2x+4)(4x) (b) (2x+4)(2x2−3)+(x2+4x)(4x)(2x+4)(2x^{2}-3)+(x^{2}+4x)(4x) (c) (2x+4)(2x2−3)(2x+4)(2x^{2}-3) (d) (2x+4)(2x2−3)+(x2+4x)(2)(2x+4)(2x^{2}-3)+(x^{2}+4x)(2)

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