SOLUTION: Use implicit differentiation to find dy/dx: e^xy- ex^3 = 4y^2

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Question 33987: Use implicit differentiation to find dy/dx:
e^xy- ex^3 = 4y^2
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
e^xy-ex^3 = 4y^2.......IS THIS (E)^(X^3)????I AM TAKING LIKE THAT...DIFFERENTIATING WRT X
(E^(XY)){X(DY/DX)+Y}-(E)^(X^3)*(3X^2)=8Y(DY/DX)
DY/DX={(E)^(X^3)*(3X^2)-(Y*E^(XY)}/{X*(E^(XY)-8Y}