Explain how the sign of obtained from a polar equation relates to the concavity of…

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Explain how the sign of

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

obtained from a polar equation

r=f(\theta)

relates to the concavity of the corresponding Cartesian graph.