S Skye New member Joined Feb 4, 2008 Messages 1 Feb 4, 2008 #1 Find dy/dx by implicit diferentiation: x^2 y + y^2 x I really don't understand this problem. I know you have to use the product rule but I don't how to set the problem up or put it together.
Find dy/dx by implicit diferentiation: x^2 y + y^2 x I really don't understand this problem. I know you have to use the product rule but I don't how to set the problem up or put it together.
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,203 Feb 4, 2008 #2 Re: Implicit differentiation When you differentiate wrt y, stick in a dy/dx. Product rule: \(\displaystyle x^{2}\frac{dy}{dx}+2xy+y^{2}+2xy\frac{dy}{dx}=0\) Now, solve for dy/dx.
Re: Implicit differentiation When you differentiate wrt y, stick in a dy/dx. Product rule: \(\displaystyle x^{2}\frac{dy}{dx}+2xy+y^{2}+2xy\frac{dy}{dx}=0\) Now, solve for dy/dx.
