At , the graph of a twice-differentiable function has a horizontal tangent. Near ,…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

x=0

, the graph of a twice-differentiable function

p

has a horizontal tangent. Near

x=0

, the graph changes from concave up on

(-0.5,0)

to concave down on

(0,0.5)

. Determine the value of

p'(0)

and state whether

p''(0)

is positive, negative, or zero.