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Use Logarithmic Differentiation to Find the Derivative of Y with Respect

Question 429

Multiple Choice

Use logarithmic differentiation to find the derivative of y with respect to the independent variable.
- y=(x+3) xy = ( x + 3 ) ^ { x }


A) x+(3) x1x + ( 3 ) ^ { x - 1 }
B) ln(x+3) +xx+3\ln ( x + 3 ) + \frac { x } { x + 3 }
C) (x+3) x(ln(x+3) +xx+3) ( x + 3 ) ^ { x } \left( \ln ( x + 3 ) + \frac { x } { x + 3 } \right)
D) xln(x+3) x \ln ( x + 3 )

Correct Answer:

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