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# Solutions for Chapter 3: SHORT-CUTS TO DIFFERENTIATION

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

ISBN: 9780470888612

Solutions for Chapter 3: SHORT-CUTS TO DIFFERENTIATION

Solutions for Chapter 3
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##### ISBN: 9780470888612

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 3: SHORT-CUTS TO DIFFERENTIATION includes 126 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Since 126 problems in chapter 3: SHORT-CUTS TO DIFFERENTIATION have been answered, more than 43430 students have viewed full step-by-step solutions from this chapter.

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

The opposite of b , or -b

• Anchor

See Mathematical induction.

• Blocking

A feature of some experimental designs that controls for potential differences between subject groups by applying treatments randomly within homogeneous blocks of subjects

• Coefficient matrix

A matrix whose elements are the coefficients in a system of linear equations

• Compounded monthly

See Compounded k times per year.

• Decreasing on an interval

A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

• Domain of validity of an identity

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

• Index

• Index of summation

See Summation notation.

• Initial value of a function

ƒ 0.

• Inverse tangent function

The function y = tan-1 x

See Polynomial function in x

• Line graph

A graph of data in which consecutive data points are connected by line segments

• Modulus

See Absolute value of a complex number.

• Paraboloid of revolution

A surface generated by rotating a parabola about its line of symmetry.

• Polar distance formula

The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

• Product rule of logarithms

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

• Slope-intercept form (of a line)

y = mx + b

• Sum of an infinite series

See Convergence of a series

• Yscl

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

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