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)
4. Assignment: Study for Mini Exam. |