# What is the equation of the line normal to # f(x)=lnx^2-1/x^2# at # x=-2#?

##### 1 Answer

Feb 12, 2017

The normal line to this function at the given point has equation

#### Explanation:

First note that

Second,

Since the normal line has slope equal to the negative reciprocal of the tangent line (since they are perpendicular), the normal line has slope

Putting all this together gives the equation of the normal line to be