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# Solutions for Chapter 3: Differentiation ## Full solutions for Thomas' Calculus | 12th Edition

ISBN: 9780321587992 Solutions for Chapter 3: Differentiation

Solutions for Chapter 3
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##### ISBN: 9780321587992

Thomas' Calculus was written by and is associated to the ISBN: 9780321587992. Since 124 problems in chapter 3: Differentiation have been answered, more than 11527 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: Thomas' Calculus, edition: 12. Chapter 3: Differentiation includes 124 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Additive inverse of a real number

The opposite of b , or -b

• Bounded above

A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

• Cone

See Right circular cone.

• Coterminal angles

Two angles having the same initial side and the same terminal side

• Domain of a function

The set of all input values for a function

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• Feasible points

Points that satisfy the constraints in a linear programming problem.

• Independent events

Events A and B such that P(A and B) = P(A)P(B)

• Irrational numbers

Real numbers that are not rational, p. 2.

See Polynomial function in x.

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• Nappe

See Right circular cone.

• Negative angle

Angle generated by clockwise rotation.

• Outliers

Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

• Power-reducing identity

A trigonometric identity that reduces the power to which the trigonometric functions are raised.

• Principal nth root

If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

• Real axis

See Complex plane.

• Sample survey

A process for gathering data from a subset of a population, usually through direct questioning.

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

• Slope

Ratio change in y/change in x

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