Consider the function

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

f(x)=x^{5}-5x^{3}

. At

x=0

, we have

f'(0)=0

and

f''(0)=0

. Which of the following best describes the point

x=0

? (a) Information insufficient to decide (b) Local maximum (c) Neither maximum nor minimum (point of inflection) (d) Local minimum