# Using the principle of the mean-value theorem on the indicated interval, how do you find all numbers c that satisfy the conclusion of the theorem #f(x)=x^3-2x^2#; [0, 2]?

##### 1 Answer

Oct 13, 2016

The conclusion of the Mean Value Theorem for

there is a

#c# in#(a,b)# such that#f'(c) = (f(b)-f(a))/(b-a)#

(The theorem make no guarantees about our ability to *find* the value(s) of

Find the value(s) of

For

there is a

#c# in#(0,2)# such that#f'(c) = (f(2)-f(0))/(2-0)#

To find the

The solutions are

The