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Find dydx if y=ln(5x+7x24)1/8\frac { d y } { d x } \text { if } y = \ln \left( \frac { 5 x + 7 } { x ^ { 2 } - 4 } \right) ^ { 1 / 8 }

Question 41

Multiple Choice

Find dydx if y=ln(5x+7x24) 1/8\frac { d y } { d x } \text { if } y = \ln \left( \frac { 5 x + 7 } { x ^ { 2 } - 4 } \right) ^ { 1 / 8 } .


A) 5x2+14x+58(5x+7) (x24) \frac { 5 x ^ { 2 } + 14 x + 5 } { 8 ( 5 x + 7 ) \left( x ^ { 2 } - 4 \right) }
B) 5x2+7x+20(5x+7) (x24) - \frac { 5 x ^ { 2 } + 7 x + 20 } { ( 5 x + 7 ) \left( x ^ { 2 } - 4 \right) }
C) 5x2+7x+208(5x+7) (x24) \frac { 5 x ^ { 2 } + 7 x + 20 } { 8 ( 5 x + 7 ) \left( x ^ { 2 } - 4 \right) }
D) 5x2+14x+20(5x+7) (x24) \frac { 5 x ^ { 2 } + 14 x + 20 } { ( 5 x + 7 ) \left( x ^ { 2 } - 4 \right) }
E) 5x2+14x+208(5x+7) (x24) - \frac { 5 x ^ { 2 } + 14 x + 20 } { 8 ( 5 x + 7 ) \left( x ^ { 2 } - 4 \right) }

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