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 (x) = x
2 - 4x
f (x) = sin(x) + cos(x)
f (x) =
4) On the interval [-5,5], there is no point at which the derivative of
f (x) =|x|
equal to zero, even though
f (- 5) = f (5)
. Is this a contradiction of Rolle's theorem?
Find the number
that satisfies Rolle's theorem for
f (x) = sin(x)
on the interval