# How to use rolles theorem for #f(x)= (x^3/3)- 3x# on the interval [-3,3]?

##### 1 Answer

Rolle's theorem states that if a continuous differentiable function

For the function

we see that

#f(x)# is continuous and differentiable#f(-3)=0= f(3)#

Thus the conditions of Rolle's theorem are satisfied with

Since **two** points

(This could have been anticipated from the fact that in this case

Note that Rolle's theorem says that there is **a**

This can be easily seen from the graph

graph{x^3/3-3 x [-5, 5, -5, 5]}