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

##### 1 Answer

Equation of normal is

#### Explanation:

To find the equation of normal line we need to find the slope of the normal line and a point through which the line passes through.

We are given

First let us find

Now we have a point

The slope of the tangent can be found by finding the derivative of

Slope of normal

Slope of normal

Equation of a line passing through a point

Here we have the point

Equation of normal is