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Single Variable Calculus

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Moderate

Find Critical Points of a Function Involving Tangent

SVCALC-FEYXZ5

Find the critical points for the function: $f(\theta)=4\theta-\tan\theta$.

A

$\theta=\pm\cfrac{(3k+1)\pi}{3}, k\in\mathbb{Z}; \cfrac{(2k+1)\pi}{2}, k\in\mathbb{Z}$

B

$\theta=\pm\cfrac{(3k+1)\pi}{3}, k\in\mathbb{Z}$

C

$\theta=\pm\cfrac{(6k+1)\pi}{3}, k\in\mathbb{Z}$

D

$\theta=\cfrac{(6k+1)\pi}{3}, k\in\mathbb{Z}$