# What is the equation of the line normal to #f(x)=1/abs(x) # at #x=1#?

##### 2 Answers

#### Explanation:

For

Furthermore,

At

The equation of the line through

#### Explanation:

See image at end of post....

we can see that at

and so the slope is

Thus the tangent vector is

Therefore, for the normal vector

the slope of the normal is therefore

we can also say that

so we have

or