MEMORIZE

Question 1

l’Hopital’s Rule

Answer 1

Question 2

Ln(1) = ?

Answer 2

Question 3

Answer 3

Question 4

Ln(ab) = ?

Answer 4

Question 5

Ln(a/b) = ?

Answer 5

Question 6

Avg Rate of Change

Answer 6

(slope of secant line)

Question 7

Definition of Derivative

Answer 7

(slope tangent line)

Question 8

Product Rule

Answer 8

Question 9

Quotient Rule

Answer 9

(Low dHigh) - (High dLow) / square of what’s below

Question 10

Mean Value Theorem

Answer 10

instantaneous rate of Δ = avg rate of Δ

Question 11

Critical Point

Answer 11

dy/dx = 0 or und.

Question 12

Point of Inflection

Answer 12

concavity changes sign

f’‘(x) crosses the x-axis

Question 13

Avg VALUE

Answer 13

if function is continuous & derivative exists

Question 14

Logistic Curve

Answer 14

Question 15

Integration by Parts

Answer 15

Question 16

Arc Length

Answer 16

Question 17

Lagrange Error Bound

Answer 17

Question 18

Velocity Vector

Answer 18

Question 19

Speed Formula

Answer 19

Question 20

Total Distance Traveled

Answer 20

Question 21

Area inside a leaf - polar curve

Answer 21

Question 22

Slope of r(θ) at a given θ

Answer 22

Question 23

Ratio Test

Answer 23

Question 24

Alternating Series Error Bound

Answer 24

Question 25

Converge or Diverge?

Answer 25

Harmonic series

Question 26

Converge or Diverge?

Answer 26

Alternating Harmonic Series

Question 27

Converge or Diverge?

Answer 27

Infinite Geometric Series

Question 28

Volume - Solids of Revolution

DISK METHOD

Answer 28

Question 29

Volume - Solids of Revolution

WASHER METHOD

Answer 29

Question 30

Taylor Series

Answer 30

Question 31

Extreme Value Theorem

Question 32

Rolle’s Theorem

Answer 32

Special case of Mean Value

f’(c) = 0

guarantees horizontal tangent line

Question 33

Local min:

Answer 33

f’(x) changes from (+) → (-)

f’‘(x) > 0

Question 34

Local max:

Answer 34

f’(x) changes from (-) → (+)

f’‘(x)

Question 35

Concave up

Answer 35

f’(x) is increasing

f’‘(x) = +

Question 36

Concave down

Answer 36

f’(x) is decreasing

f’‘(x) = (-)

Question 37

Area between two graphs

Answer 37

Question 38

Find the line that divides the area into 2 equal parts

Answer 38

Question 39

Disk Method

Answer 39

Question 40

Washer Method

Answer 40

Question 41

Solid of Revolution between f(x) and g(x)

Answer 41

Question 42

Volume of solids with known cross sections

Answer 42

Question 43

Arc length of a parametric equation

Answer 43

Question 44

How to convert from polar to rectangular?

Answer 44

x = r cosθ

y = r sinθ

Question 45

How to convert from rectangular to polar?

Answer 45

Question 46

Second derivative of a paramteric

Answer 46