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# Solutions for Chapter 2.3: The Derivative

## Full solutions for Vector Calculus | 4th Edition

ISBN: 9780321780652

Solutions for Chapter 2.3: The Derivative

Solutions for Chapter 2.3
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##### ISBN: 9780321780652

Since 62 problems in chapter 2.3: The Derivative have been answered, more than 12422 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Vector Calculus was written by and is associated to the ISBN: 9780321780652. This textbook survival guide was created for the textbook: Vector Calculus, edition: 4. Chapter 2.3: The Derivative includes 62 full step-by-step solutions.

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

The opposite of b , or -b

• Back-to-back stemplot

A stemplot with leaves on either side used to compare two distributions.

• Common logarithm

A logarithm with base 10.

• Cotangent

The function y = cot x

• Even function

A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.

• Exponent

See nth power of a.

• Imaginary part of a complex number

See Complex number.

• Negative linear correlation

See Linear correlation.

• Odd-even identity

For a basic trigonometric function f, an identity relating f(x) to f(-x).

• Orthogonal vectors

Two vectors u and v with u x v = 0.

• Outcomes

The various possible results of an experiment.

• Parameter interval

See Parametric equations.

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Polar coordinates

The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

• Positive angle

Angle generated by a counterclockwise rotation.

An equation that can be written in the form ax 2 + bx + c = 01a ? 02

The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

• Simple harmonic motion

Motion described by d = a sin wt or d = a cos wt

• Unit ratio

See Conversion factor.

• Vertical line

x = a.

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