Consider the function defined on the closed interval

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

Problem

Consider the function

p(x)=x^{4}-4x^{3}

defined on the closed interval

[-1,5]

. Which ordered pair gives both the

x

-coordinate and the corresponding value of the absolute minimum of

p

[-1,5]

? (a)

(0,0)

(b)

(2,-16)

(c)

(3,-27)

(d)

(4,0)