# How do you implicitly differentiate #x^2 + y^2 = 1/2 #?

##### 2 Answers

Jun 22, 2018

#### Explanation:

Jun 22, 2018

#### Explanation:

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

#"noting that "d/dx(y^2)=2ydy/dx#

#2x+2ydy/dx=0#

#2ydy/dx=-2x#

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