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# Solutions for Chapter 15-5: Instantaneous Rate of Change of a Function: The Derivative ## Full solutions for Precalculus with Trigonometry: Concepts and Applications | 1st Edition

ISBN: 9781559533911 Solutions for Chapter 15-5: Instantaneous Rate of Change of a Function: The Derivative

Solutions for Chapter 15-5
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##### ISBN: 9781559533911

This expansive textbook survival guide covers the following chapters and their solutions. Precalculus with Trigonometry: Concepts and Applications was written by and is associated to the ISBN: 9781559533911. Chapter 15-5: Instantaneous Rate of Change of a Function: The Derivative includes 26 full step-by-step solutions. This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. Since 26 problems in chapter 15-5: Instantaneous Rate of Change of a Function: The Derivative have been answered, more than 20845 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• Circle graph

A circular graphical display of categorical data

• Coefficient matrix

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

• Confounding variable

A third variable that affects either of two variables being studied, making inferences about causation unreliable

• Constraints

See Linear programming problem.

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• Equation

A statement of equality between two expressions.

• Inverse relation (of the relation R)

A relation that consists of all ordered pairs b, a for which a, b belongs to R.

• Inverse tangent function

The function y = tan-1 x

• Mapping

A function viewed as a mapping of the elements of the domain onto the elements of the range

• Mean (of a set of data)

The sum of all the data divided by the total number of items

• Opens upward or downward

A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

• Product of functions

(ƒg)(x) = ƒ(x)g(x)

• Real axis

See Complex plane.

• Real zeros

Zeros of a function that are real numbers.

• Root of a number

See Principal nth root.

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

• Work

The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

• y-intercept

A point that lies on both the graph and the y-axis.

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