A function is defined by

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

Problem

f(x)=a x^{p}

, where

a

and

p

are nonzero constants. If

f'(x)=12x^{3}

for all real

x

, which of the following ordered pairs

(a,p)

satisfies this condition? (a)

(12,4)

(b)

(3,4)

(c)

(4,3)

(d)

(6,2)