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

##### 1 Answer

The normal equation is

a) Where

b)

#### Explanation:

the slope of the normal line is the negative reciprocal of the slope of the tangent line. so what you need to don is :

1) find the the slope of f(x) at

a)

b)

2) find the equation of line, equation of tangent at (-5, f(5))

a) Tangent equation,

b)

c)

4) The normal equation is

a) Where

b)

There is some algebra that you need to, which I leave to you. the recipe for solving is there for you for now and future problems...

Good luck