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# Solutions for Chapter 2.6: DIFFERENTIABILITY ## Full solutions for Calculus: Single Variable | 6th Edition

ISBN: 9780470888643 Solutions for Chapter 2.6: DIFFERENTIABILITY

Solutions for Chapter 2.6
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##### ISBN: 9780470888643

Calculus: Single Variable was written by and is associated to the ISBN: 9780470888643. This textbook survival guide was created for the textbook: Calculus: Single Variable , edition: 6. Since 27 problems in chapter 2.6: DIFFERENTIABILITY have been answered, more than 35080 students have viewed full step-by-step solutions from this chapter. Chapter 2.6: DIFFERENTIABILITY includes 27 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Additive inverse of a real number

The opposite of b , or -b

• Complements or complementary angles

Two angles of positive measure whose sum is 90°

• Compounded monthly

See Compounded k times per year.

• 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

• Distributive property

a(b + c) = ab + ac and related properties

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Domain of validity of an identity

The set of values of the variable for which both sides of the identity are defined

• Double-angle identity

An identity involving a trigonometric function of 2u

• Ellipsoid of revolution

A surface generated by rotating an ellipse about its major axis

• Inequality symbol or

<,>,<,>.

• Ordinary annuity

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

• Partial fraction decomposition

See Partial fractions.

• Partial sums

See Sequence of partial sums.

• Permutation

An arrangement of elements of a set, in which order is important.

• Product rule of logarithms

ogb 1RS2 = logb R + logb S, R > 0, S > 0,

• Random variable

A function that assigns real-number values to the outcomes in a sample space.

• Reflection across the x-axis

x, y and (x,-y) are reflections of each other across the x-axis.

• Resistant measure

A statistical measure that does not change much in response to outliers.

• System

A set of equations or inequalities.

• Yscl

The scale of the tick marks on the y-axis in a viewing window.

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