Use Logarithmic Differentiation to Find $f ^ { \prime } ( x )$

question 22

Multiple Choice

Use logarithmic differentiation to find $f ^ { \prime } ( x )$ . $f ( x ) = \sqrt [ 8 ] { \frac { 6 x + 5 } { 8 + 6 x } }$

• A) \(f ^ { \prime } ( x ) = \frac { 1 } { 8 } \left( \frac { 6 } { 6 x + 5 } - \frac { 6 } { 8 + 6 x } \right) f ( x )\)
• B) \(f ^ { \prime } ( x ) = f ( x ) \left( \frac { 6 x + 5 } { 8 + 6 x } \right) ^ { - 7 / 8 }\)
• C) \(f ^ { \prime } ( x ) = \left( \frac { 6 } { 6 x + 5 } - \frac { 6 } { 8 + 6 x } \right) f ( x )\)
• D) \(f ^ { \prime } ( x ) = \left( \frac { 6 x + 5 } { 8 + 6 x } \right) ^ { - 7 / 8 }\)

Recognize the role of specific benefits in promoting work-life balance among employees.

Understand how to perform basic arithmetic operations and use functions in Excel.

Know how to use Excel views and settings to adjust page layout and print settings.

Recognize and correct errors in Excel worksheet.

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