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1

Derivative definition

2

L’hopital Rule

3

Average rate Δ

4

Avg Value

5

Top heavy:

slant asymptote/diverge (long division)

6

Bottom heavy: 

y = 0 

7

Degree N = D (balanced)

Ratio of Coeff

8

Fundamental th. Calc 1

9

Fundamental Th. Calc 2

10

The Extreme-Value Theorem:

If continuous [a,b] then must have absolute max & min

11

The Mean Value Theorem

If continuous on [a,b] and differentiable (a,b)

- Average rate of change = slope tangent line at some point

12

Rolle’s Theorem (special case MVT)

If continuous on [a,b] and differentiable (a,b)

HORIZONTAL tangent line at some point

13

Intermediate Value Theorem:
 

- If continuous on [a,b] and f(a) ≤ x ≤ f(b)

 

 

14

Trig 

15

16

17

Chain Rule

18

Point of inflection

concavity changes or f''(x) changes sign 

19

Volume of Solids with Known Cross-Sections

20

Volume of Solids with Known Cross-Sections 

EQUILIATERAL TRIANGLE

 

 

21

Volume of Solids with Known Cross-Sections 

SEMI CIRCLE

22

Area between two graphs

23

Arc Length

24

Polar to rectangular

25

Rectangular to polar

26

Arc Length Parametric

27

Arc Length of a Polar curve

28

Area enclosed by a polar curve

29

Second Derivative of Parametric

30

Acceleration Vector