Lesson 4.2 Rolle and Mean Value Theorems
2
Rolle’s Theorem a b 1. If f is continuous on [a,b], AND 2. Differentiable on (a,b), AND 3. f(a) = f(b), THEN… …you are guaranteed at least one value c where f’(c) = 0.
-
Upload
sharon-henry -
Category
Business
-
view
225 -
download
2
description
Transcript of Lesson 4.2 Rolle and Mean Value Theorems
Rolle’s Theorem
a b
1. If f is continuous on [a,b], AND2. Differentiable on (a,b), AND 3. f(a) = f(b), THEN……you are guaranteed at least one value c where f’(c) = 0.
Mean Value Theorem
a b
1. If f is continuous on [a,b] AND2. Differentiable on (a,b), THEN……there is at least one value c on (a,b) where ab
)a(f)b(f)c(f