Quote of the Day:
"Mathematics is the Queen of the Sciences."
- Carl Friedrich Gauss
Objectives:
The student will review all the concepts of limits, continuity, and derivatives.
1. Bell Ringer.
2. Review for Mini Examination
Outline (Limits and Derivatives)
I. Multiple Choice (9 questions -- 5 points each)
1. Differentials
2. Instantaneous Rate of Change / Average Rate of Change
3. Implicit Differentiation
4. Limit as x approaches infinity
5. Related Rates
6. Derivative of trig, e to the x, ...
7. Find the Normal / Tangent to the curve
8. Limit (Def. of Derivative / Piece-wise Defined Function)
9. Derivative of trig, quotient, exponential
II. Free Response (9 questions -- 6 points each)
10. 50th derivative
11. Second derivative of a trig function
12. Graph of a derivative
13. Parametric Equations
14. Limit of trig functions
15. Chain Rule
16. Find the value of k to make a line tangent to a curve
17. Prove the derivative formula for one of the six trig functions.
18. Find the derivative of a complex function (chain rule, trig, product, exponential)
3. Show Me's
4. Assignment:
Study for Mini Exam.
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