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Using Implicit Differentiation On xy5x+y=8,yx y - 5 ^ { x + y } = 8 , y ^ { \prime }

Question 62

Multiple Choice

Using implicit differentiation on xy5x+y=8,yx y - 5 ^ { x + y } = 8 , y ^ { \prime } is


A) x5x+yln55x+yln5y\frac { x - 5 ^ { x + y } \ln 5 } { 5 ^ { x + y } \ln 5 - y }
B) x+5x+yln55x+yln5y\frac { x + 5 ^ { x + y } \ln 5 } { 5 ^ { x + y } \ln 5 - y }
C) x+5x+yln55x+yln5+y\frac { x + 5 ^ { x + y } \ln 5 } { 5 ^ { x + y } \ln 5 + y }
D) 5x+yln5yx5x+yln5\frac { 5 ^ { x + y } \ln 5 - y } { x - 5 ^ { x + y } \ln 5 }
E) 5x+yyx5x+yln5\frac { 5 ^ { x + y } - y } { x - 5 ^ { x + y } \ln 5 }

Correct Answer:

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