compute-the-slope-of-the-tangent-line-for-the-polar-curve-r4r4theta-at-3thetadfr

Question

Compute the slope of the tangent line for the polar curve r=4θr=4	heta at θ=π3	heta=\dfrac{\pi}{3}.

Accepted Answer

33+π3−π3\dfrac{3\sqrt{3}+\pi}{3-\pi\sqrt{3}}

Answer

33−π3+π3\dfrac{3\sqrt{3}-\pi}{3+\pi\sqrt{3}}

Answer

3+π1−π3\displaystyle\frac{\sqrt{3}+\pi}{1-\pi\sqrt{3}}

Answer

3+π3−π\dfrac{\sqrt{3}+\pi}{3-\pi}

Compute the slope of the tangent line for the polar curve r=4θr=4\(\theta\) at θ=π3\(\theta\)=\(\dfrac{\pi}{3}\).