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AP Calculus BC/Unit 5: Analytical Applications of Differentiation
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Chain Rule with a Trigonometric Function

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If f(x)=tan⁡(3x2−π3) f(x) = \tan(3x^2 - \frac{\pi}{3}) , what is the value of f′(π9) f'\left(\sqrt{\frac{\pi}{9}}\right) ?

A

sec⁡2(−π3) \sec^2\left(-\frac{\pi}{3}\right)

B

2π3 \frac{2\sqrt{\pi}}{3}

C

6π 6\sqrt{\pi}

D

2π 2\sqrt{\pi}

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