For the polar curve

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

Problem

For the polar curve

r=1+2\cos\theta

, determine the value of

\dfrac{dy}{dx}

\theta=\dfrac{\pi}{3}

. (a)

\sqrt{3}

(b)

\displaystyle \frac{\sqrt{3}}{9}

(c)

-\dfrac{\sqrt{3}}{9}

(d)

-\dfrac{\sqrt{3}}{3}