State the relationship between the Cartesian slope and the derivatives and for a…

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

Problem

State the relationship between the Cartesian slope

\frac{dy}{dx}

and the derivatives

\frac{dy}{d\theta}

and

\frac{dx}{d\theta}

for a curve defined in polar coordinates

r=f(\theta)