Use Logarithmic Differentiation to Find the Derivative of Y $y = \sin x \sqrt { 5 x + 2 }$

question 356

Multiple Choice

Use logarithmic differentiation to find the derivative of y.
- $y = \sin x \sqrt { 5 x + 2 }$

• A) \(\sin x \sqrt { 5 x + 2 } \left( \frac { 1 } { \sin x \cdot \cos x } + \frac { 5 } { 5 x + 2 } \right)\)
• B) \(\sin x \sqrt { 5 x + 2 } \left( \cot x + \frac { 5 } { 2 ( 5 x + 2 ) } \right)\)
• C) \(\frac { 10 \cot x + 9 \cot x } { 5 x + 4 }\)
• D) \(\sin x \sqrt { 5 x + 2 } \left( \ln \sin x + \frac { 1 } { 2 } \ln ( 5 x + 2 ) \right)\)

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