For the polar curve

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

For the polar curve r=1+sin⁡θr=1+\sin\theta, what is the value of dydx\dfrac{dy}{dx} at θ=π6\theta=\dfrac{\pi}{6}? (a) 00 (b) undefined (vertical tangent) (c) 3\sqrt{3} (d) −3-\sqrt{3}

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