Last Quiz

Question 1

Mean Value Theorem

Answer 1

1. See if cont & diff
2. Plug numbers into f(X)
3. Plug into MVT equation
4. Find f1(X)
5. Set derivative to the number you find
6. Make sure c fits interval

Question 2

What to do when lim f(X) X g(X) is 0 X infinity

Answer 2

Rewrite as g(X) / 1/f(x) or other way around

Question 3

Concave down

Answer 3

F2(X)

Question 4

Concave up

Answer 4

F2(X) > 0

Slope increasing, f1(X) is increasing

Question 5

Newton’s method

Answer 5

Example:

X3 = X2 - f(x2)/f1(x2)

Question 6

Rolle’s Theorem (steps)

Answer 6

1. See if it’s continuous
2. See if it’s differentiable (find derivative)
3. Plug interval numbers into f(X)
4. Set X=0 and find f1(X)
5. C is the number you find