Theorems

Question 1

The Mean-Value Theorem ( sid. 136 )

Answer 1

f(b) - f(a) / b - a = f’(c)

Question 2

Rolle’s Theorum ( sid. 140 )

Answer 2

If f is a continuous function in the closed interval [a, b] and is differentable in the open interval (a, b) and g(a) = g(b) then there exist a point c in which g’(c) = 0.

The function simply makes a U-turn.. :-)

Question 3

The Squeeze Theorem ( sid. 69 )

Answer 3

f(x) <= h(x)

Question 4

Integral of f’(t) dt from A to B is equal to what?

Answer 4

f(b) - f(a)