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Use Implicit Differentiation to Find the Specified Derivative at the Given

Question 31

Multiple Choice

Use implicit differentiation to find the specified derivative at the given point.
-Find dydx\frac { d y } { d x } at the point (2,1) ( 2,1 ) for lnx+xy2+lny=0\ln x + x y ^ { 2 } + \ln y = 0 .


A) 1- 1
B) 310- \frac { 3 } { 10 }
C) 1
D) 310\frac { 3 } { 10 }

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