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# Solutions for Chapter 2.6: DERIVATIVES AND RATES OF CHANGE ## Full solutions for Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) | 4th Edition

ISBN: 9780495559726 Solutions for Chapter 2.6: DERIVATIVES AND RATES OF CHANGE

Solutions for Chapter 2.6
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##### ISBN: 9780495559726

Since 54 problems in chapter 2.6: DERIVATIVES AND RATES OF CHANGE have been answered, more than 20716 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series), edition: 4. Chapter 2.6: DERIVATIVES AND RATES OF CHANGE includes 54 full step-by-step solutions. Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) was written by and is associated to the ISBN: 9780495559726.

Key Calculus Terms and definitions covered in this textbook
• Annuity

A sequence of equal periodic payments.

• Bounded above

A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• Distance (on a number line)

The distance between real numbers a and b, or |a - b|

• Division

a b = aa 1 b b, b Z 0

• Explanatory variable

A variable that affects a response variable.

• Fibonacci numbers

The terms of the Fibonacci sequence.

• Geometric series

A series whose terms form a geometric sequence.

• Implied domain

The domain of a function’s algebraic expression.

• Integers

The numbers . . ., -3, -2, -1, 0,1,2,...2

• Inverse of a matrix

The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

A measure that tells how widely distributed data are.

• One-to-one function

A function in which each element of the range corresponds to exactly one element in the domain

• Ordinary annuity

An annuity in which deposits are made at the same time interest is posted.

• Outliers

Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

• Randomization

The principle of experimental design that makes it possible to use the laws of probability when making inferences.

• Riemann sum

A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

• Trigonometric form of a complex number

r(cos ? + i sin ?)

• Vertical asymptote

The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a- ƒ1x2 = q.

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