Let where is a real parameter

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Let

f'(x)=(x-2)(x-k)

where

k

is a real parameter. For which values of

k

x=2

a point of local minimum of

f

? (a)

k>2

(b)

k\le 2

(c)

k<2

(d)

k=2