# What is the equation of the line that is normal to #f(x)=2x^3-3x^2+5# at # x=1 #?

##### 1 Answer

Dec 4, 2015

The normal line is the vertical line through the point

#### Explanation:

At

The tangent at that point has slope

Since

The tangent line is horizontal. The normal line is perpendicular to the tangent line, so the normal line is vertical.