4.2 Theorems

Question 1

Rolle’s Theorem?

Answer 1

f continuous on [a,b]
f differentiable on (a,b)
f(a)=f(b)
then there exists a number c in (a,b) such that f’(c) =0

Question 2

Mean Value Theorem?

Answer 2

f continuous on [a,b]
f differentiable on (a,b)
There there is a number, c, on (a,b) such that f’(c) = f(b)-f(a)/ b-a