Chapter 4- Applications Of The Derivative Flashcards
0
Q
L’Hopital’s Rule applies to
A
x-> infinity and negative infinity
And indeterminate forms 0^0, 1^infinity, infinity^0
1
Q
L’Hopital’s Rule
A
f(x) f’(x)
Lim ——- = Lim ——
x-> a g(x) x-> a g’(x)
2
Q
Sketching graphs and asymptotes
A
- Determine the domain of f
- Determine the signs of f’ and f”
- Note transition points and sign combinations
- Determine the asymptotic behavior of f(x)
- Draw arc of appropriate shape and asymptotic behavior
3
Q
Applied optimization
A
Look at book
4
Q
Newton’s Method
A
Look at book
