Consider , where is a real parameter. For which values of is increasing throughout…

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

Problem

Consider

f_k(x)=x^{3}-3kx^{2}

, where

k

is a real parameter. For which values of

k

f_k

increasing throughout the open interval

(0,2)

? (a)

0<k<1

(b)

k\le 0

(c)

k<0

(d)

k\ge 1