Differentiability

Question 0

Mean Value Theorem (MVT)

Answer 0

F’(c)= [f(b)-f(a)/b-a]
Must be differentiable:
-Must be continuous
- do LHD & RHD

Question 1

L’Hopital’s Rules

Answer 1

In derivative form

0/0, $/$, $•0, $-$, 1^$, 0^0, $^0

Question 2

Extreme Value Theorem (EVT)

Answer 2

If f is continuous on a closed interval [a,b], then f has an absolute max and min.