Let , , where and . The value of for which is invertible…

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

Problem

Let

f:\mathbb{R}\to\mathbb{R}

f(x)=2x^3-3(k+2)x^2+12kx-7

, where

-4\leq k\leq6

and

k\in\mathbb{Z}

. The value of

k

for which

f(x)

is invertible is (a)

0

(b)

1

(c)

2

(d)

3