- #1
nuadre
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Homework Statement
Assuming Rolle's Theorem, Prove the Mean Value Theorem.
Homework Equations
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The Attempt at a Solution
I know these definitions:
Rolle's Theorem:
If y=f(x) is continuous on all points [a,b] and differentiable on all interior points (a,b),
and if f(a) = f(b)
then there is at least one point c such that f '(c)=0
Mean Value Theorem:
y:f(x) continuous on [a,b], differentiable on all (a,b) then one point such that
f(b) - f(a) / b-a = f ' (c)
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Do i substitute values in for a,b,c to try to prove? I'm so horribly confused :(