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Solutions for Chapter 3: Differentiation

Thomas' Calculus | 12th Edition | ISBN: 9780321587992 | Authors: George B. Thomas Jr.

Full solutions for Thomas' Calculus | 12th Edition

ISBN: 9780321587992

Thomas' Calculus | 12th Edition | ISBN: 9780321587992 | Authors: George B. Thomas Jr.

Solutions for Chapter 3: Differentiation

Solutions for Chapter 3
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Textbook: Thomas' Calculus
Edition: 12
Author: George B. Thomas Jr.
ISBN: 9780321587992

Thomas' Calculus was written by Sieva Kozinsky and is associated to the ISBN: 9780321587992. Since 124 problems in chapter 3: Differentiation have been answered, more than 3088 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Thomas' Calculus, edition: 12. Chapter 3: Differentiation includes 124 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Augmented matrix

    A matrix that represents a system of equations.

  • Compound interest

    Interest that becomes part of the investment

  • Cosine

    The function y = cos x

  • Dihedral angle

    An angle formed by two intersecting planes,

  • Direct variation

    See Power function.

  • Extracting square roots

    A method for solving equations in the form x 2 = k.

  • Graph of a polar equation

    The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

  • Infinite discontinuity at x = a

    limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

  • Integers

    The numbers . . ., -3, -2, -1, 0,1,2,...2

  • Interval

    Connected subset of the real number line with at least two points, p. 4.

  • Linear factorization theorem

    A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

  • Matrix element

    Any of the real numbers in a matrix

  • Measure of spread

    A measure that tells how widely distributed data are.

  • Median (of a data set)

    The middle number (or the mean of the two middle numbers) if the data are listed in order.

  • Power regression

    A procedure for fitting a curve y = a . x b to a set of data.

  • Quadric surface

    The graph in three dimensions of a seconddegree equation in three variables.

  • Real axis

    See Complex plane.

  • Sinusoid

    A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

  • Sum of an infinite series

    See Convergence of a series

  • Xscl

    The scale of the tick marks on the x-axis in a viewing window.

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