Calculus
posted by C .
Implicit differentiation of 5x^22xy+7^y

Two assumptions
1. you want dy/dx
2. You have the equation 5x^2  2xy + 7y^2 = 0
10x  2x dy/dx  2y + 14y dy/dx = 0
dy/dx( 14y  2x) = 2y  10x
dy/dx = (2y10x)/(14y  2x) = (y  5x)/(7y  x) 
No, the equation is
5x^22xy+7^y
Last term has 7 to the y power.... 
Ouch, nasty term ...
the derivative of 7^y would be
(ln7)(7^y)dy/dx
I am sure you can make the necessary changes . 
Yes...very nasty! Thanks