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# Solutions for Chapter 4.3: Increasing and Decreasing Functions and the First DerivativeTest

## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770

Solutions for Chapter 4.3: Increasing and Decreasing Functions and the First DerivativeTest

Solutions for Chapter 4.3
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##### ISBN: 9781285774770

Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4.3: Increasing and Decreasing Functions and the First DerivativeTest includes 123 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Since 123 problems in chapter 4.3: Increasing and Decreasing Functions and the First DerivativeTest have been answered, more than 45544 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Boxplot (or box-and-whisker plot)

A graph that displays a five-number summary

• Census

An observational study that gathers data from an entire population

• Directed line segment

See Arrow.

• Equivalent systems of equations

Systems of equations that have the same solution.

• Explanatory variable

A variable that affects a response variable.

• Logarithmic form

An equation written with logarithms instead of exponents

• Lower bound for real zeros

A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

• Minute

Angle measure equal to 1/60 of a degree.

• Order of an m x n matrix

The order of an m x n matrix is m x n.

• Power-reducing identity

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

• Semiperimeter of a triangle

One-half of the sum of the lengths of the sides of a triangle.

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Standard position (angle)

An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis

• Symmetric difference quotient of ƒ at a

ƒ(x + h) - ƒ(x - h) 2h

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

• Unit vector

Vector of length 1.

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

• Vertex of an angle

See Angle.

• Vertical line

x = a.

• Vertical translation

A shift of a graph up or down.

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