Last Quiz Flashcards
1
Q
Mean Value Theorem
A
- See if cont & diff
- Plug numbers into f(X)
- Plug into MVT equation
- Find f1(X)
- Set derivative to the number you find
- Make sure c fits interval
2
Q
What to do when lim f(X) X g(X) is 0 X infinity
A
Rewrite as g(X) / 1/f(x) or other way around
3
Q
Concave down
A
F2(X)
4
Q
Concave up
A
F2(X) > 0
Slope increasing, f1(X) is increasing
5
Q
Newton’s method
A
Example:
X3 = X2 - f(x2)/f1(x2)
6
Q
Rolle’s Theorem (steps)
A
- See if it’s continuous
- See if it’s differentiable (find derivative)
- Plug interval numbers into f(X)
- Set X=0 and find f1(X)
- C is the number you find