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Section 3.5 : Derivatives of Trig Functions

5. Differentiate \(g\left( z \right) = 10\tan \left( z \right) - 2\cot \left( z \right)\) .

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Not much to do here other than take the derivative.

\[g'\left( z \right) = 10{\sec ^2}\left( z \right) + 2{\csc ^2}\left( z \right)\]