Calculus AB: Applications of the Derivative
Problems for "The Mean Value Theorem"
In problems 1-3, for each of the following functions f defined on [a, b] find the c on [a, b] such that
f'(c) = 
|
= 2
= 0
,
,
, or 
Problem :
4) On the interval [-5,5], there is no point at which the derivative of
f (x) =|x|
is
equal to zero, even though
f (- 5) = f (5)
. Is this a contradiction of Rolle's theorem?
Problem :
Find the number
c
that satisfies Rolle's theorem for
f (x) = sin(x)
on the interval
[0, Π]
.
