# What is the equation of the line normal to #f(x)= x^3e^x # at #x=2#?

##### 1 Answer

#### Explanation:

From the given equation

Let us solve for the point first. We should find

We now have the point at

Now, we need to compute the slope m and then obtain its negative reciprocal because, we are after the normal line.

First derivative of

for slope

and

For the normal line, we need

Let us write the Normal line equation using

By Point-Slope form

God bless....I hope the explanation is useful.