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Derivative of a Composite Trigonometric Function

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Which of the following is the correct derivative of y=tan⁡(2∗x)y=\sqrt{\tan(2*x)} using the Chain Rule?

A

2∗sec⁡2(2∗x)tan⁡(2∗x)\frac{2*\sec^2(2*x)}{\sqrt{\tan(2*x)}}

B

sec⁡2(2∗x)tan⁡(2∗x)\frac{\sec^2(2*x)}{\sqrt{\tan(2*x)}}

C

sec⁡2(2∗x)tan⁡(2∗x)\frac{\sec^2(2*x)}{\tan(2*x)}

D

sec⁡(2∗x)tan⁡(2∗x)\frac{\sec(2*x)}{\sqrt{\tan(2*x)}}

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