Use Logarithmic Differentiation to Find the Derivative of Y with Respect

question 430

Multiple Choice

Use logarithmic differentiation to find the derivative of y with respect to the independent variable.
- $$y = ( 10 x + 2 ) ^ { x }$$

• A) \(x \ln ( 10 x + 2 )\)
• B) \(( 10 x + 2 ) ^ { x } \left( \ln ( 10 x + 2 ) + \frac { 1 } { 2 } \right)\)
• C) \(\ln ( 10 x + 2 ) + \frac { 10 x } { 10 x + 2 }\)
• D) \(( 10 x + 2 ) ^ { x } \left( \ln ( 10 x + 2 ) + \frac { 10 x } { 10 x + 2 } \right)\)

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