From Example Problems
Revision as of 16:25, 26 February 2006 by Geoff (Talk | contribs)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Find the derivative of y\, with respect to x\,: x+xy+x^{2}+xy^{2}=0\,

You could solve this for y\, as it is a quadratic in y\, but it is probably much nicer to differentiate implicitly.


Solving this for y'\, gives

y'={\frac  {-(1+y+2x+y^{2})}{x+2xy}}\,

Main Page : Calculus