Let , where , , are constants. Which of the following equals…

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

Problem

Let p(x)=ax3+bx+cp(x) = ax^{3} + bx + c, where aa, bb, cc are constants. Which of the following equals p′(x)p'(x)? (a) 3ax2+bx3ax^{2} + bx (b) ax2+bax^{2} + b (c) 3ax2+b3ax^{2} + b (d) 3ax3+b3ax^{3} + b

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