Describe how the sign of for a curve defined implicitly by relates to the concavity…

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

Problem

Describe how the sign of

\frac{d^{2}y}{dx^{2}}

for a curve defined implicitly by

F(x,y)=0

relates to the concavity of the curve with respect to

x

, and state the additional requirement that identifies a point of inflection.