txt Complete Test Prep: Calculus, Part 1 (English Edition)

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Topics by section in this volume (the first of four Parts):
1 − An Introduction to Calculus
2 − Understanding Functions
3 − Even and Odd Functions and Symmetry
4 − Piecewise Defined and Compositions of Functions
5 − Determining Limits Numerically
6 − Cases Where the Limit Does Not Exist
7 − The Formal Definition of a Limit
8 − Properties of Limits
9 − Evaluating Limits of Radical and Trigonometric Functions
10 − More Algebraic Techniques for Finding Limits
11 − Infinite Limits
12 − Properties of Infinite Limits and End Behavior
13 − Comparing Magnitudes of Functions
14 − Continuity
15 − Intermediate Value Theorem
16 − Secant Lines
17 − Estimating Tangent Lines and Normal Lines on a Curve 83
18 − Local Linearity
19 − Average Velocity vs. Instantaneous Velocity
20 − Visualizing Average Velocity and Instantaneous Velocity
21 − Limits of a Secant Line Approaching a Tangent Line
22 − Definition of Derivative using a Position Equation
23 − The Formal Definition of the Derivative
24 − Evaluating Derivatives and Derivative Notation
25 − The Relationship Between the Graphs of f(x) and f'(x)
26 − Graphing f'(x) from Data
27 − One-Sided Derivatives
28 − Non-Differentiable Points
29 − Differentiability, Continuity, and Linear Approximations 151 Chapter
30 − Intermediate Value Theorem for Derivatives
31 − Rules for Differentiation
32 − Differentiating Polynomial Functions
33 − The Product Rule for Differentiation
34 − The Quotient Rule for Differentiation
35 − Higher-Order Derivatives
36 − Instantaneous Rates of Change
37 − Instantaneous Rate of Change - Projectile Motion
38 − Position, Velocity, Acceleration, and Jerk
39 − Motion of a Particle on a Line
40 − Sensitivity to Change
41 − Derivatives of Exponential Functions
42 − Derivative of the Sine Function
43 − Derivative of the Cosine Function
44 − Applications of Sine and Cosine Functions
45 − Simple Harmonic Motion