# How do you find all numbers c in the interval show that the function #f(x)=x^3+x+1# satisfies the mean value theorem on the interval [-1,2]?

##### 1 Answer

Apr 3, 2015

The secant of

is

According to the Mean Value Theorem there should exist at least one value

Since

we are looking for one (or more values) that satisfy

Within the interval