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) \(\frac { 4 \mathrm { t } \sqrt { \mathrm { t } } } { \sqrt { \mathrm { t } } } \left( \frac { 1 } { 2 } \ln 4 \mathrm { t } + 1 \right)\)

---

Definitions:

Query Design View

A graphical interface in database software that allows users to create and modify database queries by visually arranging tables, fields, and joins.

Parameter Criteria

Specified boundaries or conditions used to filter data or determine the behavior of a program or function.

Curly Brackets

Symbols { and } used in programming to delineate blocks of code, and in mathematics to denote sets.

Split Form

A user interface layout that splits the screen into two sections, typically used in database applications to display a list of records on one side and detailed view of the selected record on the other.