Consider . At , . What is the nature of…

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

Problem

Consider

f(x)=x^{6}-4x^{4}+1

. At

x=0

f'(0)=f''(0)=0

. What is the nature of

x=0

? (a) Point of inflection (no extremum) (b) Strict local maximum (c) Strict local minimum (d) Cannot be decided without a graph