Recall the mean value theorem (MVT), which states: If f is continuous on closed interval [a, b] and differentiable on (a, b), then there is at least one point c 2 (a, b) such
that
(f(b) - f(a)) / (b - a) = f'(c)
Use this theorem to answer the following questions.
(a) What is the slope of the secant line passing through (a, f(a)) and (b, f(b))?
(b) What is the slope of the tangent line at c?
(c) What does the MVT say about the two quantities above?
(d) Rewrite the theorem in terms of instantaneous speed (hint: tangent line) and
average speed (hint: secant line) for a trip between times a and b.
(e) Is the theorem applicable to the function f(x) = |x - 1| on the interval [0, 2]?
Why or why not?

I know this is long but I actually have no idea. Please help me out thanks