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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) sinxy = ( x + 8 ) ^ { \sin x }


A) sinxln(x+8) \sin x \ln ( x + 8 )
B) cosxln(x+8) +sinxx+8\cos x \ln ( x + 8 ) + \frac { \sin x } { x + 8 }
C) (x+8) sinx(cosxln(x+8) +sinxx+8) ( x + 8 ) ^{\sin x} \left( \cos x \ln ( x + 8 ) + \frac { \sin x } { x + 8 } \right)
D) (cosxx+8) (x+8) sinx\left( \frac { - \cos x } { x + 8 } \right) ( x + 8 ) ^{ \sin x}

Correct Answer:

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