# How do you differentiate #x^3+y^3=3xy#?

##### 1 Answer

Jan 7, 2017

#### Explanation:

differentiate

#color(blue)"implicitly with respect to x"# The

#color(blue)"product rule"# has to be used on the right side.

#3x^2+3y^2.dy/dx=3x.dy/dx+3y#

#rArr3y^2dy/dx-3xdy/dx=3y-3x^2#

#rArrdy/dx(3y^2-3x)=3(y-x^2)#

#rArrdy/dx=(3(y-x^2))/(3(y^2-x))=(y-x^2)/(y^2-x)#