# How do you use implicit differentiation to find #(dy)/(dx)# given #3x^2+3y^2=2#?

##### 2 Answers

Apr 12, 2018

#### Explanation:

Implicit differentiation of the circle

Solving for

Apr 12, 2018

#### Explanation:

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

#"noting that"#

#d/dx(y)=dy/dx" and "d/dx(y^2)=2ydy/dx#

#rArr6x+6ydy/dx=0#

#rArr6ydy/dx=-6x#

#rArrdy/dx=(-6x)/(6y)=-x/y#