Question

calculate the derivative of y with respect to x of X^2y+2xy^2=x+y

Answer 1

http://www.wolframalpha.com/input/?i=X%5E2y%2B2xy%5E2%3Dx%2By

Answer 2

it would be the last answer right?

Answer 3

\[x^2y+2xy^2=x+y\]
\[2xy+x^2y'+2y^2+4xyy'=1+y'\] then a raft of algebra to solve for
\[y'\]

Answer 4

if you wanted to use wolfram it would be the very last answer on this page
http://www.wolframalpha.com/input/?i=x^2y%2B2xy^2%3Dx%2By

Answer 5

\[y'(x^2+4xy-1) = (1-2xy-2y^2)\]

Answer 6

thank you