Use Logarithmic Differentiation to Find the Derivative of Y with Respect

question 402

Multiple Choice

Use logarithmic differentiation to find the derivative of y with respect to the independent variable.
- $$y = ( \sin x ) ^ { \cos x }$$

• A) \(( \sin x ) ^ { \cos x } ( \cos x \cot x - \sin x \ln ( \sin x ) )\)
• B) \(\cos x \cot x - \ln ( \sin x )\)
• C) \(\cos x \cot x - \sin x \ln ( \sin x )\)
• D) \(\cos x \ln ( \sin x )\)

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