could you tell me how to attack this one

http://img96.imageshack.us/img96/8578/dyoverdx.jpg

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- Dec 16th 2009, 04:35 PMDa FreakImplicit differentiation
could you tell me how to attack this one

http://img96.imageshack.us/img96/8578/dyoverdx.jpg - Dec 16th 2009, 04:43 PMskeeter
- Dec 16th 2009, 04:46 PMDa Freak
- Dec 16th 2009, 04:57 PMskeeter
$\displaystyle \frac{d}{dx} (x^2y^2+2y=x^3)$

$\displaystyle x^2 \cdot 2y \cdot \frac{dy}{dx} + y^2 \cdot 2x + 2 \cdot \frac{dy}{dx} = 3x^2$

$\displaystyle 2x^2y \cdot \frac{dy}{dx} + 2 \cdot \frac{dy}{dx} = 3x^2 - 2xy^2$

$\displaystyle \frac{dy}{dx}(2x^2y + 2) = 3x^2 - 2xy^2$

$\displaystyle \frac{dy}{dx} = \frac{3x^2 - 2xy^2}{2x^2y + 2}$ - Dec 16th 2009, 05:50 PMDa Freak