Use Logarithmic Differentiation to Find the Derivative of Y with Respect

question 355

Multiple Choice

Use logarithmic differentiation to find the derivative of y with respect to the independent variable.
- $$y = ( x + 8 ) ^ { \sin x }$$

• A) \(\sin x \ln ( x + 8 )\)
• B) \(\cos x \ln ( x + 8 ) + \frac { \sin x } { x + 8 }\)
• C) \(( x + 8 ) ^{\sin x} \left( \cos x \ln ( x + 8 ) + \frac { \sin x } { x + 8 } \right)\)
• D) \(\left( \frac { - \cos x } { x + 8 } \right) ( x + 8 )^{ \sin x}\)

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