Test 2 Flashcards
1
Q
Chain rule
A
2
Q
Derivative of Power functions:
A
3
Q
Derivative of:
A
4
Q
Derivative of:
A
5
Q
Derivative of:
A
6
Q
A
7
Q
A
8
Q
A
9
Q
A
10
Q
A
11
Q
A
12
Q
Exponential Growth and Decay
A
13
Q
Compound Interest
A
14
Q
Continously compounded interest
A
15
Q
Critical numbers
A
a number c in the domain of f, such that either f’(c)=0 or f’(c)= DNE
16
Q
Closed interval method (finding abs max/min)
A
- Find the values of f at the critical numbers of f in interval
- find the values of f at the endpoints of the interval
- largest value= abs max, lowest value= abs min
17
Q
Mean Value Theorem
A
18
Q
First Derivative Test (for finding local max/mins)
A
- if f’(c) goes from (+) to (-) at c = local max
- if f’(c) goes from (-) to (+) at c = local min
- if no change= no local min/max
19
Q
Concavity Test
A
- if f ¨(x)>0 in I, then = CU on I
- if f ¨(x)<0 in I, then = CD on I
20
Q
Inflection points
A
- if concavity changes at point P, then = POI
21
Q
Second Derivative Test
A
- if f’(x)=0, and f ¨(x)>0, then f has a local min at c
- if f’(x)=0, and f ¨(x)<0, then f has a local max at c
