Can you help me double-cross my results by finding the implicit differentiation of this?http://screencast.com/t/SkJubK2J0ce0

Question

christos · Answer

@rim182946

agent0smith · Answer

$$\huge 3x^2 y ^2 +2x^3y \frac{ dy }{ dx } - 10xy -5x^2\frac{ dy }{ dx } +1 =0$$

agent0smith · Answer

$$\huge  \frac{ dy }{ dx }= \frac{ 10xy-1 - 3x^2 y ^2  }{ 2x^3y   -5x^2 } $$

christos · Answer

Yes yes! I got it!

agent0smith · Answer

Good job :D and wow, wolfram alpha is amazing! :D I wasn't sure it'd do it, but it does... http://www.wolframalpha.com/input/?i=dy%2Fdx+of+x%5E3y%5E2-5x%5E2y%2Bx%3D1

christos · Answer

Yea its a nice tool! ;)

agent0smith · Answer

So you can always type it into there if you're not sure. 

But feel free to post here, if you want an actual person to confirm it for you, and a person can explain any steps you might've done wrong :)

I like calculus so i'm happy to help :)