Use Logarithmic Differentiation to Find the Derivative of Y with Respect

question 265

Multiple Choice

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

• A) \(\ln x ( \cos x ) ^ { x - 1 }\)
• B) \(( \cos x ) ^ { x } ( \ln \cos x - x \tan x )\)
• C) \(\ln \cos x - x \tan x\)
• D) \(( \cos x ) ^ { x } ( \ln \cos x + x \cot x )\)

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