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# Solutions for Chapter 14.8: DIFFERENTIABILITY

## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612

Solutions for Chapter 14.8: DIFFERENTIABILITY

Solutions for Chapter 14.8
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##### ISBN: 9780470888612

Since 25 problems in chapter 14.8: DIFFERENTIABILITY have been answered, more than 44862 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. Chapter 14.8: DIFFERENTIABILITY includes 25 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Arccosecant function

See Inverse cosecant function.

• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Expanded form of a series

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

• Exponential form

An equation written with exponents instead of logarithms.

• Geometric sequence

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

• Grapher or graphing utility

Graphing calculator or a computer with graphing software.

• Horizontal Line Test

A test for determining whether the inverse of a relation is a function.

• Intermediate Value Theorem

If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

• Interquartile range

The difference between the third quartile and the first quartile.

• n-set

A set of n objects.

• Parameter

See Parametric equations.

• Pascal’s triangle

A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

• Quartic regression

A procedure for fitting a quartic function to a set of data.

• Quotient identities

tan ?= sin ?cos ?and cot ?= cos ? sin ?

• Rational numbers

Numbers that can be written as a/b, where a and b are integers, and b ? 0.

• Reflexive property of equality

a = a

• Riemann sum

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

• Sample space

Set of all possible outcomes of an experiment.

• 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.

• Vertices of a hyperbola

The points where a hyperbola intersects the line containing its foci.

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