`g(x) = 5tan(3x)` Find the derivative of the function.

Textbook Question

Chapter 2, 2.4 - Problem 45 - Calculus of a Single Variable (10th Edition, Ron Larson).
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sciencesolve | Teacher | (Level 3) Educator Emeritus

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You need to use the chain rule to evaluate the derivative of the function, such that:

`g'(x) = (5tan(3x))'*(3x)'`

`g'(x) = (5/(cos^2(3x)))*3`

`g'(x) = (15/(cos^2(3x)))`

Hence, evaluating the derivative of the function, using the product rule, yields` g'(x) = (15/(cos^2(3x))).`

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