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# Use Implicit Differentiation to solve this function

wrote...
Posts: 9
Rep:
2 months ago
 Use Implicit Differentiation to solve this function Solve for the y′ of the given implicit functions (Based from the example).1. $$3y^2\left(x+y\right)=x-y$$Example:$$\left(x+y\right)^2=3xy$$$$2\left(x+y\right)\left(dx+dy\right)=3\left(xdy+ydx\right)$$$$2\left(xdx+xdy+ydx+ydy\right)=3xdy+3ydx$$$$2xdy+2ydy-3xdy=3ydx-2xdx-2ydx$$$$dy\left(2y-x\right)=dx\left(y-2x\right)$$$$\frac{dy}{dx}=y'=\frac{y-2x}{2y-x}$$ Read 50 times 2 Replies

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Rellias M. Author
wrote...
2 months ago
 Umm... I don't quite understand how would I multiply 3y^2 and (x+y) in order for it to factor out the dx because it conflicts with my solution if I try to solve it
wrote...
Educator
2 months ago
 I believe it is done like this:
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