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

Precalculus with Trigonometry: Concepts and Applications | 1st Edition | ISBN: 9781559533911 | Authors: Foerster

Full solutions for Precalculus with Trigonometry: Concepts and Applications | 1st Edition

ISBN: 9781559533911

Precalculus with Trigonometry: Concepts and Applications | 1st Edition | ISBN: 9781559533911 | Authors: Foerster

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

Solutions for Chapter 15-5
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Textbook: Precalculus with Trigonometry: Concepts and Applications
Edition: 1
Author: Foerster
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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