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# Solutions for Chapter 2: Limits and Derivatives

## Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition

ISBN: 9781305270336

Solutions for Chapter 2: Limits and Derivatives

Solutions for Chapter 2
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##### ISBN: 9781305270336

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 2: Limits and Derivatives includes 54 full step-by-step solutions. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Since 54 problems in chapter 2: Limits and Derivatives have been answered, more than 96515 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Branches

The two separate curves that make up a hyperbola

• Coefficient matrix

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

• Complex plane

A coordinate plane used to represent the complex numbers. The x-axis of the complex plane is called the real axis and the y-axis is the imaginary axis

• Coordinate(s) of a point

The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space

• Cube root

nth root, where n = 3 (see Principal nth root),

• Elimination method

A method of solving a system of linear equations

• equation of a parabola

(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

• Focal length of a parabola

The directed distance from the vertex to the focus.

• Identity function

The function ƒ(x) = x.

• Interquartile range

The difference between the third quartile and the first quartile.

• Inverse properties

a + 1-a2 = 0, a # 1a

• Inverse tangent function

The function y = tan-1 x

• One-to-one rule of exponents

x = y if and only if bx = by.

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• Parabola

The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

• Parametric curve

The graph of parametric equations.

• Probability simulation

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

• Terminal side of an angle

See Angle.

• Window dimensions

The restrictions on x and y that specify a viewing window. See Viewing window.

• Wrapping function

The function that associates points on the unit circle with points on the real number line