Review all terms and concepts pertaining to Limits as first introduced via Assignment 3 and Sections 10.1 - 10.3. In Chapter 11 on Derivatives: secant line, tangent line, slope of a curve, derivative, differentiation, differentiable, derivative notation, differentiable implies continuous (converse is false), basic derivative rules (constant rule, power rule, constant factor rule, sum and difference rule).
1. Section 10.1, Pages 468 # 48 (Your calculator will probably be helpful).
2. Section 10.2, Pages 476 # 53, 54, 56, 62, 64.
3. Section 10.3, Page 482 # 28, 32.
4. Section 11.1, Pages 499 - 500 # 4, 5, 11, 12, 15, 17, 18, 22, 25, 28, 29, 34.
5. Section 11.2, Pages 507 - 508 # 2, 5, 6, 9 - 12, 21, 30 - 36, 40, 57, 58, 65, 66, 73, 74, 81, 82, 85, 86, 90.
6. Evaluate the following limits:is continuous. Express your answer using interval notation and sufficiently justify your work.
7. Find the set on which the function is continuous. Express your answer using interval notation and sufficiently justify your work.
8. Find the equation of every tangent line through the point (2, -3) that is tangent to the parabola y = x 2 + x.
9. Section 5.5, Page 221 # 1 - 6.