# How do you find the number c that satisfies the conclusion of the Mean Value Theorem for #f( x) = e^(-2x)# on [0,3]?

##### 1 Answer

Aug 11, 2015

Find slope

#### Explanation:

So

Divide both sides by

Take natural logs of both sides to get:

Divide both sides by

As you might expect, this is fairly close to

graph{(y-e^(-2x))(y+x/3-1)(y+x/3-0.441) = 0 [-1.01, 3.99, -0.55, 1.95]}