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Use Logarithmic Differentiation to Find the Derivative of Y y=x(x+3)y = \sqrt { x ( x + 3 ) }

Question 380

Multiple Choice

Use logarithmic differentiation to find the derivative of y.
- y=x(x+3) y = \sqrt { x ( x + 3 ) }


A) (12) (1x+1x+3) \left( \frac { 1 } { 2 } \right) \left( \frac { 1 } { x } + \frac { 1 } { x + 3 } \right)
B) (x(x+3) 2) (1x+1x+3) \left( \frac { \sqrt { x ( x + 3 ) } } { 2 } \right) \left( \frac { 1 } { x } + \frac { 1 } { x + 3 } \right)
C) (lnx+ln(x+3) 2) \left( \frac { \ln x + \ln ( x + 3 ) } { 2 } \right)
D) x(x+3) (2x+3) \sqrt { x ( x + 3 ) } ( 2 x + 3 )

Correct Answer:

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