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# Solutions for Chapter 3.2: Basic Differentiation Rules and Rates of Change

## Full solutions for Calculus: Early Transcendental Functions | 4th Edition

ISBN: 9780618606245

Solutions for Chapter 3.2: Basic Differentiation Rules and Rates of Change

Solutions for Chapter 3.2
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##### ISBN: 9780618606245

Since 116 problems in chapter 3.2: Basic Differentiation Rules and Rates of Change have been answered, more than 44433 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. Chapter 3.2: Basic Differentiation Rules and Rates of Change includes 116 full step-by-step solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245.

Key Calculus Terms and definitions covered in this textbook
• Acute angle

An angle whose measure is between 0° and 90°

• Acute triangle

A triangle in which all angles measure less than 90°

• Complex number

An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

• Convenience sample

A sample that sacrifices randomness for convenience

• Descriptive statistics

The gathering and processing of numerical information

• equation of an ellipse

(x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

• Frequency table (in statistics)

A table showing frequencies.

• Inverse cotangent function

The function y = cot-1 x

• Limit to growth

See Logistic growth function.

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• Nappe

See Right circular cone.

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Proportional

See Power function

• Range (in statistics)

The difference between the greatest and least values in a data set.

• Right-hand limit of ƒ at x a

The limit of ƒ as x approaches a from the right.

• Rigid transformation

A transformation that leaves the basic shape of a graph unchanged.

• Unit ratio

See Conversion factor.

• Vertex of a parabola

The point of intersection of a parabola and its line of symmetry.

• Window dimensions

The restrictions on x and y that specify a viewing window. See Viewing window.

• xy-plane

The points x, y, 0 in Cartesian space.

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