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Get Full Access to Calculus - Textbook Survival Guide
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# Solutions for Chapter 4: Maxima and Minima ## Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567 Solutions for Chapter 4: Maxima and Minima

Solutions for Chapter 4
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##### ISBN: 9780321570567

Summary of Chapter 4: Maxima and Minima

With a working understanding of derivatives, we now undertake one of the fundamental tasks of calculus: analyzing the behavior of functions and producing accurate graphs of them.

Chapter 4: Maxima and Minima includes 78 full step-by-step solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This expansive textbook survival guide covers the following chapters and their solutions. Since 78 problems in chapter 4: Maxima and Minima have been answered, more than 466981 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

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

A triangle in which all angles measure less than 90°

• Boxplot (or box-and-whisker plot)

A graph that displays a five-number summary

• Branches

The two separate curves that make up a hyperbola

• Distance (in Cartesian space)

The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2

• Elements of a matrix

See Matrix element.

• Ellipsoid of revolution

A surface generated by rotating an ellipse about its major axis

• Inequality symbol or

<,>,<,>.

See Polynomial function in x.

• Line of symmetry

A line over which a graph is the mirror image of itself

• n factorial

For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Nonsingular matrix

A square matrix with nonzero determinant

• One-to-one rule of exponents

x = y if and only if bx = by.

• Placebo

In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.

• Positive linear correlation

See Linear correlation.

• Remainder theorem

If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

• Right angle

A 90° angle.

• Stem

The initial digit or digits of a number in a stemplot.

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

• Ymax

The y-value of the top of the viewing window.