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# Solutions for Chapter 4.3: How Derivatives Affect the Shape of a Graph

## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397

Solutions for Chapter 4.3: How Derivatives Affect the Shape of a Graph

Solutions for Chapter 4.3
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##### ISBN: 9780534393397

Calculus, was written by and is associated to the ISBN: 9780534393397. Since 76 problems in chapter 4.3: How Derivatives Affect the Shape of a Graph have been answered, more than 43666 students have viewed full step-by-step solutions from this chapter. Chapter 4.3: How Derivatives Affect the Shape of a Graph includes 76 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 5.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a complex number

The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

• Anchor

See Mathematical induction.

• Central angle

An angle whose vertex is the center of a circle

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Distance (in a coordinate plane)

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

• Expanded form of a series

A series written explicitly as a sum of terms (not in summation notation).

• Five-number summary

The minimum, first quartile, median, third quartile, and maximum of a data set.

• Identity matrix

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

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• Matrix, m x n

A rectangular array of m rows and n columns of real numbers

• Negative association

A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

• Ordered pair

A pair of real numbers (x, y), p. 12.

• Positive linear correlation

See Linear correlation.

• Positive numbers

Real numbers shown to the right of the origin on a number line.

• Power regression

A procedure for fitting a curve y = a . x b to a set of data.

• Spiral of Archimedes

The graph of the polar curve.

• Standard deviation

A measure of how a data set is spread

• Sum of an infinite series

See Convergence of a series

• Tree diagram

A visualization of the Multiplication Principle of Probability.

• Upper bound for ƒ

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

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