For the function

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

Problem

For the function

f(x)=x^{4}

, it is given that

f'(0)=0

and

f''(0)=0

. How is the point

x=0

classified? (a) Point of inflection (saddle point) (b) Cannot be determined from the given information (c) Local minimum (d) Local maximum