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

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

ISBN: 9780618606245

Solutions for Chapter 4.3: Increasing and Decreasing Functions and the First Derivative Test

Solutions for Chapter 4.3
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##### ISBN: 9780618606245

Chapter 4.3: Increasing and Decreasing Functions and the First Derivative Test includes 111 full step-by-step solutions. Since 111 problems in chapter 4.3: Increasing and Decreasing Functions and the First Derivative Test have been answered, more than 39480 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Annuity

A sequence of equal periodic payments.

• Arcsine function

See Inverse sine function.

• Bearing

Measure of the clockwise angle that the line of travel makes with due north

• Bias

A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses

• Cardioid

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

• Categorical variable

In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

• Compound interest

Interest that becomes part of the investment

• Conversion factor

A ratio equal to 1, used for unit conversion

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• Graph of a relation

The set of all points in the coordinate plane corresponding to the ordered pairs of the relation.

• Head minus tail (HMT) rule

An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

• Identity matrix

A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

• Infinite sequence

A function whose domain is the set of all natural numbers.

• Initial value of a function

ƒ 0.

• Residual

The difference y1 - (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

• Secant

The function y = sec x.

• Second-degree equation in two variables

Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

• System

A set of equations or inequalities.

• Venn diagram

A visualization of the relationships among events within a sample space.

• Weighted mean

A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

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