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Juan Set 1 Paper 1 · Q15

Paper 1Functions & graphsNumber & countingAlgebra

Let nn be a positive integer and aa a nonzero real number. For a polynomial function ff of degree nn with leading coefficient aa, it is given that

((f(x))3)′=(f′(x))4.\bigl((f(x))^3\bigr)'=(f'(x))^4.

What is the product a⋅na\cdot n?

A14\dfrac{1}{4}
B13\dfrac{1}{3}
C12\dfrac{1}{2}
D1
E2

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