# How do you find the value of c guaranteed by the mean value theorem if it can be applied for #f(x)=x^(1/3)# in the interval [-5,4]?

##### 1 Answer

May 5, 2015

Since

**The mean value theorem cannot be applied to this function on this interval.**

Interesting Note:

Although we cannot use the mean value theorem to deduce its existence, there is, in fact, a value of

(Yes, I know I can rationalize the denominator of