Use Logarithmic Differentiation to Find the Derivative of Y with Respect

question 51

Multiple Choice

Use logarithmic differentiation to find the derivative of y with respect to the independent variable.
- $$y = 4 t \sqrt { t }$$

• A) \(\frac { 4 t \sqrt { t } + 1 ( \ln 4 t ) } { \sqrt { t } + 1 }\)
• B) \(4 t \left( \frac { 1 } { 2 } \ln 4 t + 1 \right)\)
• C) \(\frac { 1 } { \sqrt { t } } \left( \frac { 1 } { 2 } \ln 4 t + 1 \right)\)
• D) \(\frac { 4 \mathrm { t } \sqrt { \mathrm { t } } } { \sqrt { \mathrm { t } } } \left( \frac { 1 } { 2 } \ln 4 \mathrm { t } + 1 \right)\)

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