# What is the equation of the line that is normal to #f(x)=4x^3-3x^2+5x-2# at # x=1 #?

##### 1 Answer

Jan 26, 2016

#### Explanation:

The slope of the normal at a given point is the negative inverse of the slope of the function at that point. i.e. if the slope of the function is

To find the slope, differentiate the function.

At

Therefore the slope of the normal is

The calculate the constant

Therefore the normal is