Extra Calculus AB Practice - By Topics

From UNIT 3 (Derivative with respect to variables other than x & L'Hospital's Rule):

1. L'Hospital's Rule

2. Implicit Differentiation

3. Related Rates

4. Derivatives of Inverse Trig Functions

5. Derivatives of Exponential Functions

From UNIT 2 (Basic Derivatives):

1. Estimating Derivatives

2. Visualizing the derivatives of elementary functions

3. The Power Rule

4. The Product Rule

5. The Quotient Rule

6. The standard and alternative versions of the Definition of a derivative

7. Derivatives of e^x and ln(x)

8. Derivatives of trig functions

9. Chain Rule

10. Particle Motion / PVA (Position-Velocity-Acceleration)

11. General Unit 2 Practice

From UNIT 1 (Limits & Continuity):

1. Estimating Limits from a graph

2. Estimating Limits from a table

3. Limits from a function

4. Limits from a piecewise function

5. Limits of Trigonometric Functions

6. Connecting Multiple Representations of Limits (find limits given functions, tables, OR graphs)

7. 0/0 Limits using conjugates

8. Evaluating Limits with direct substitution and possibly dealing with 0/0

9. Limit Properties:  Composite Functions

10. Limits that approach infinity or negative infinity (infinite limits)

11. Limit Properties (+, - , * , / )

12. Continuity at a point

13. Classify discontinuities

14. IVT (Intermediate Value Theorem)

15. General Unit 1 Practice

For later in the year:

1. Derivatives of (non-Trig) Inverse Functions

2. Tangent line equations / tangent line approximations (aka linearization) / and over versus under-estimates

From UNIT 5 (Integration)

3. Limit definition of a definite integral

4. U-Substitution

5. FTC (Fundamental Theorem of Calculus)

Prerequisite Skills:

6. Average Rate of Change

7. Unit Circle