Any tricks for simplifying after taking the implicit differential?
http://i.imgur.com/DmqeQHZ.png

Question

Any tricks for simplifying after taking the implicit differential?
http://i.imgur.com/DmqeQHZ.png

anonymous · Answer

$$2x+2y(\frac{ dy }{ dx })= (2(5x^2+4y^2-2x)(10x+4y(\frac{ dy }{ dx })-1)$$

I would rather not foil this.

nincompoop · Answer

that's the actual problem in your second post?

anonymous · Answer

yes, need to get it so I can get dy/dx

nincompoop · Answer

I didn't see the link of the actual problem my badness

nincompoop · Answer

no tricks for implicit, all hard work LAUGHING OUT LOUD

nincompoop · Answer

the trick will come from your algebra talents

jim_thompson5910 · Answer

you're given the point (0,0.5) and you know the tangent line goes through this point. So why not plug (x,y) = (0,0.5) into that latest equation you found and then solve for dy/dx. Think of dy/dx as its own variable, like z.

anonymous · Answer

take the derivative then put x=0  as given point (0, 0,5) then solve for dy/dx then put the value of y to find dy/dx value