SOLUTION: Use implicit differentiation to find dy/dx: x^2lnx-y^3lny=2

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: Use implicit differentiation to find dy/dx: x^2lnx-y^3lny=2      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 33753: Use implicit differentiation to find dy/dx:
x^2lnx-y^3lny=2
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
x^2lnx-y^3lny=2...DIFFERENTIATING WRT X
2X(LN(X))-3(Y^2)(DY/DX)(LN(Y))-(Y^3)(1/Y)(DY/DX)=0
DY/DX={2X(LN(X)}/{3(Y^2)(LN(Y))+Y^2}