$\text { Use logarithmic differentiation to find the derivative of } y = \frac { x ^ { 36 } \sqrt { 29 x - 4 } } { ( x - 1 ) ^ { 14 } } \text {. }$

question 136

Multiple Choice

$\text { Use logarithmic differentiation to find the derivative of } y = \frac { x ^ { 36 } \sqrt { 29 x - 4 } } { ( x - 1 ) ^ { 14 } } \text {. }$

• A) \(\frac { d y } { d x } = \frac { x ^ { 36 } \sqrt { 29 x - 4 } } { ( x - 1 ) ^ { 14 } }\)
• B) \(\frac { d y } { d x } = \frac { x ^ { 36 } \sqrt { 29 x - 4 } } { ( x - 1 ) ^ { 14 } } \left( \frac { 36 } { x } + \frac { 29 } { 2 ( 29 x - 4 ) } - \frac { 14 } { x - 1 } \right)\)
• C) \(\frac { d y } { d x } = \frac { x ^ { 36 } \sqrt { 29 x - 4 } } { ( x - 1 ) ^ { 14 } } \left( \frac { 36 } { x } - \frac { 29 } { 2 ( 29 x - 4 ) } - \frac { 14 } { x - 1 } \right)\)
• D) \(\frac { d y } { d x } = \frac { 36 x \sqrt { 29 x - 4 } } { 14 ( x - 1 ) ^ { 13 } }\)
• E) \(\frac { d y } { d x } = \frac { x ^ { 36 } \sqrt { 29 x - 4 } } { ( x - 1 ) ^ { 14 } } \left( \frac { 36 } { x } - \frac { 29 } { 2 ( 29 x - 4 ) } + \frac { 14 } { x - 1 } \right)\)

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