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# Solutions for Chapter 4.1: USING FIRST AND SECOND DERIVATIVES ## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612 Solutions for Chapter 4.1: USING FIRST AND SECOND DERIVATIVES

Solutions for Chapter 4.1
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##### ISBN: 9780470888612

Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Chapter 4.1: USING FIRST AND SECOND DERIVATIVES includes 73 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 73 problems in chapter 4.1: USING FIRST AND SECOND DERIVATIVES have been answered, more than 31258 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Circle graph

A circular graphical display of categorical data

• Common difference

See Arithmetic sequence.

• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• Dependent event

An event whose probability depends on another event already occurring

• Exponential growth function

Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

• Five-number summary

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

• Leibniz notation

The notation dy/dx for the derivative of ƒ.

• Linear system

A system of linear equations

• Magnitude of a vector

The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

• Main diagonal

The diagonal from the top left to the bottom right of a square matrix

• Multiplicative inverse of a real number

The reciprocal of b, or 1/b, b Z 0

• Probability simulation

A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

• Range screen

See Viewing window.

• Reduced row echelon form

A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

• Reference angle

See Reference triangle

• Second quartile

See Quartile.

• Sinusoidal regression

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

• Slant asymptote

An end behavior asymptote that is a slant line