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Solutions for Chapter 3.1: The Derivative and the Tangent Line Problem

Calculus: Early Transcendental Functions | 4th Edition | ISBN: 9780618606245 | Authors: Ron Larson Robert P. Hostetler, Bruce H. Edwards

Full solutions for Calculus: Early Transcendental Functions | 4th Edition

ISBN: 9780618606245

Calculus: Early Transcendental Functions | 4th Edition | ISBN: 9780618606245 | Authors: Ron Larson Robert P. Hostetler, Bruce H. Edwards

Solutions for Chapter 3.1: The Derivative and the Tangent Line Problem

Solutions for Chapter 3.1
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Textbook: Calculus: Early Transcendental Functions
Edition: 4
Author: Ron Larson Robert P. Hostetler, Bruce H. Edwards
ISBN: 9780618606245

This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. Chapter 3.1: The Derivative and the Tangent Line Problem includes 104 full step-by-step solutions. Since 104 problems in chapter 3.1: The Derivative and the Tangent Line Problem have been answered, more than 45552 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245.

Key Calculus Terms and definitions covered in this textbook
  • Absolute value of a real number

    Denoted by |a|, represents the number a or the positive number -a if a < 0.

  • 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>

  • Directrix of a parabola, ellipse, or hyperbola

    A line used to determine the conic

  • Distance (on a number line)

    The distance between real numbers a and b, or |a - b|

  • Endpoint of an interval

    A real number that represents one “end” of an interval.

  • equation of an ellipse

    (x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

  • Exponential form

    An equation written with exponents instead of logarithms.

  • Focal axis

    The line through the focus and perpendicular to the directrix of a conic.

  • Frequency

    Reciprocal of the period of a sinusoid.

  • Identity function

    The function ƒ(x) = x.

  • Logistic growth function

    A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth

  • Magnitude of a real number

    See Absolute value of a real number

  • n-set

    A set of n objects.

  • One-to-one rule of logarithms

    x = y if and only if logb x = logb y.

  • 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

  • Pythagorean

    Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

  • Shrink of factor c

    A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

  • Translation

    See Horizontal translation, Vertical translation.

  • Vertical stretch or shrink

    See Stretch, Shrink.

  • Ymin

    The y-value of the bottom of the viewing window.