1
Q
l’Hopital’s Rule
A
2
Q
Ln(1) = ?
A
3
Q
A
4
Q
Ln(ab) = ?
A
5
Q
Ln(a/b) = ?
A
6
Q
Avg Rate of Change
A
(slope of secant line)
7
Q
Definition of Derivative
A
(slope tangent line)
8
Q
Product Rule
A
9
Q
Quotient Rule
A
(Low dHigh) - (High dLow) / square of what’s below
10
Q
Mean Value Theorem
A
instantaneous rate of Δ = avg rate of Δ
11
Q
Critical Point
A
dy/dx = 0 or und.
12
Q
Point of Inflection
A
concavity changes sign
f’‘(x) crosses the x-axis
13
Q
Avg VALUE
A
if function is continuous & derivative exists
14
Q
Logistic Curve
A
15
Q
Integration by Parts
A
16
Q
Arc Length
A
17
Q
Lagrange Error Bound
A
18
Q
Velocity Vector
A
19
Q
Speed Formula
A
20
Q
Total Distance Traveled
A
21
Q
Area inside a leaf - polar curve
A
22
Q
Slope of r(θ) at a given θ
A
23
Q
Ratio Test
A
24
Q
Alternating Series Error Bound
A
25
Converge or Diverge?
Harmonic series
26
Converge or Diverge?
Alternating Harmonic Series
27
Converge or Diverge?
Infinite Geometric Series
28
Volume - Solids of Revolution
DISK METHOD
29
Volume - Solids of Revolution
WASHER METHOD
30
Taylor Series
31
Extreme Value Theorem
32
Rolle's Theorem
Special case of Mean Value
f'(c) = 0
guarantees horizontal tangent line
33
Local min:
f'(x) changes from (+) → (-)
f''(x) \> 0
34
Local max:
f'(x) changes from (-) → (+)
f''(x)
35
Concave up
f'(x) is increasing
f''(x) = +
36
Concave down
f'(x) is decreasing
f''(x) = (-)
37
Area between two graphs
38
Find the line that divides the area into 2 equal parts
39
Disk Method
40
Washer Method
41
Solid of Revolution between f(x) and g(x)
42
Volume of solids with known cross sections
43
Arc length of a parametric equation
44
How to convert from polar to rectangular?
x = r cosθ
y = r sinθ
45
How to convert from rectangular to polar?
46
Second derivative of a paramteric
BC Calc
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