Single Variable Calculus Questions and Answers

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Single Variable Calculus, Chapter 7, 7.7, Section 7.7, Problem 32

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Determine the derivative of $g(x) = \cos h (\ln x)$. Simplify where possible.

$ \begin{equation} \begin{aligned} g'(x) =& \frac{d}{dx} \cos h (\ln x) \\ \\ g'(x) =& \sin h (\ln x) \cdot \frac{d}{dx} (\ln x) \\ \\ g'(x) =& \sin h (\ln x) \cdot \frac{1}{x} \\ \\ g'(x) =& \frac{\sin h (\ln x)}{x} \end{aligned} \end{equation} $