Let . At , both and . Which of the following best describes…

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

Problem

Let

f(x)=x^{3}-3x

. At

x=0

, both

f'(0)=0

and

f''(0)=0

. Which of the following best describes

x=0

? (a) Local maximum (b) Neither maximum nor minimum (point of inflection) (c) Absolute maximum (d) Local minimum