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^2f(x)=x3−2x2; [0, 2]?
1 Answer
Oct 13, 2016
The conclusion of the Mean Value Theorem for
there is a
cc in(a,b)(a,b) such thatf'(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 thatf'(c) = (f(2)-f(0))/(2-0)
To find the
The solutions are
The