D. Maximum, Minimum, Concavity, and Inflection Points: Definitions
E. Maximum, Minimum, and Inflection Points: Curve Sketching
Case I. Functions That Are Everywhere Differentiable
Case II. Functions Whose Derivatives May Not Exist Everywhere
F. Global Maximum or Minimum
Case I. Differentiable Functions
Case II. Functions That Are Not Everywhere Differentiable
G. Further Aids in Sketching
H. Optimization: Problems Involving Maxima and Minima
I. Relating a Function and Its Derivatives Graphically
J. Motion Along a Line
BC ONLY
K. Motion Along a Curve: Velocity and Acceleration Vectors
L. Tangent-Line Approximations
M. Related Rates
BC ONLY
N. Slope of a Polar Curve
Practice Exercises
5 Antidifferentiation
A. Antiderivatives
B. Basic Formulas
BC ONLY
C. Integration by Partial Fractions
BC ONLY
D. Integration by Parts
E. Applications of Antiderivatives; Differential Equations
Practice Exercises