# How do you use implicit differentiation to find dy/dx given #y^2=2+xy#?

##### 2 Answers

Feb 15, 2017

#### Explanation:

Differentiate both sides of the equation with repect to

Solve for

Feb 15, 2017

#### Explanation:

differentiate each term on both sides

#color(blue)"implicitly with respect to x"# Use the

#color(blue)"product rule"# on the term xy

#rArr2ydy/dx=0+(x.dy/dx+y.1)#

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

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