If and , then…

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

Problem

f(x)=x^3+bx^2+cx+d

and

0<b^2<c

, then on

(-\infty,\infty)

(1)

f(x)

is a strictly increasing function. (2)

f(x)

has a local maximum. (3)

f(x)

is a strictly decreasing function. (4)

f(x)

is bounded.