1. Concavity & inflection point
Subject
143
141
131
132
Delta-epsilon 1
Continuity 2
Find f’ 4 6 7
Related rate
Limit 3
others
1acce
L’H
MVT
Anti-derivative
Newton’s
Optimization
Increasing
Max & Min
Critical points
Linear approximation
Concavity & inflection point
Asymptotes

2. 3.6 Log Diff 3.4 Chain Rule 3.1 Poly&exp 3.5 Implicit Diff
Differentiation
3.6 Log Diff
variables appear in the base and exponent
3.4 Chain Rule
3.1 Poly&exp
3.5 Implicit Diff
Implicit Diff
3.2 Prod&Quo
3.11 Hyp
3.3 Trig
3.5 Inv. Trig
The slope of the tangent line to the curve
An equation of the normal line
An equation of the tangent line
The slope of the normal line to the curve
Types of Q

3. Differentiation F143 F122 F141 INVERSE TRIGONOMETRIC FUNCTIONS
HYPERBOLIC FUNCTIONS
F122
F141
LOGARITHMIC & Exponential
Chain Rule
Implicit Differentiation

4. ANTIDIFFERENTIATION
F141
F143
F122

5. Limit and L’H
number 1
Evaluate
Number/0 1) 2) 3) 4) 2
squeeze

6. Limit and L’H
F083
121
F143

7. Continuity
F141
F132
F151

8. Five theorems
1)Newton’s method
2)Roll’s thm
3)MVT
4)EVT
5)IVT

9. First derivative f’(x) second derivative f’’(x)
1)Critical points
2)Increasing and decreasing
3)local Max,Min
1)Inflection points
2)Concave up and down
3)Local Max,Min
domain
domain
Max
Min
Max
Min

10. 1) Newton’s method

11. 2)Critical Points
Find Domain First

12. 3)Absolute Max,Min (M,m)

13. 4)local Max,Min

14. 5)Increasing, Decreasing

15. 6)Concave, up-down
f cont at c

16. 7)Inflection points

17. 8)Maximize or Minimize(WE1)
I) What Max or min
A =area
V=volume
P=product
III)1variable
A =area
V=volume
P=product
II) EquationWrite
A =area
V=volume
P=product

18. 9)MeanValue or Rolle’s

19. 10) Anti-drivative

20. 11) L’Hospital 1)common denominator, or 2)rationalization (conjugate)
3)common factor

21. 12) Linear Approximation

22. 13) Memorize

23. Multiple choice Exam
1) Skim all 28 problems to select these you know then mark them
Look for the keyword: local , inc, concave, inflection, Newton,…..
2) Start by solving these problems (keep bubbling at the end) you have
180min/28Prob = 6.4min each
3) Eliminate answers that are wrong
4) Try working backwards. Plug the answers into the question to see if they make sense

24. Multiple choice Exam
4) If you have absolutely no idea what the answer is, can't use any of the above techniques, choose one letter
1) Pattern: Look for similarities V1 V2 V3 V4 A 6 4 5 B 7 3 8 C 9 D E

25. Multiple choice Exam V1 V2 V3 V4 A 9 7 6 B 2 5 4 C 8 D E

26. Use your knowledge in Graph