MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
Let f′(x)=x3−6x2+9x+4 for all real x, and assume f is twice differentiable. Which of the following lists all x-values at which the graph of f has a point of inflection?
(a) x=1 \text{ only}
(b) x=3 \text{ only}
(c) x=1 and x=3
(d) x=0,1,3