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Solutions for Chapter 2.5: The Chain Rule

Calculus: An Applied Approach | 8th Edition | ISBN: 9780618958252 | Authors: Ron Larson

Full solutions for Calculus: An Applied Approach | 8th Edition

ISBN: 9780618958252

Calculus: An Applied Approach | 8th Edition | ISBN: 9780618958252 | Authors: Ron Larson

Solutions for Chapter 2.5: The Chain Rule

Solutions for Chapter 2.5
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Textbook: Calculus: An Applied Approach
Edition: 8
Author: Ron Larson
ISBN: 9780618958252

Since 81 problems in chapter 2.5: The Chain Rule have been answered, more than 21856 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 2.5: The Chain Rule includes 81 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: An Applied Approach , edition: 8. Calculus: An Applied Approach was written by and is associated to the ISBN: 9780618958252.

Key Calculus Terms and definitions covered in this textbook
  • Angle of depression

    The acute angle formed by the line of sight (downward) and the horizontal

  • Arc length formula

    The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

  • Basic logistic function

    The function ƒ(x) = 1 / 1 + e-x

  • Combinatorics

    A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

  • Fibonacci numbers

    The terms of the Fibonacci sequence.

  • Geometric sequence

    A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

  • Independent variable

    Variable representing the domain value of a function (usually x).

  • Linear inequality in x

    An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

  • Linear programming problem

    A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

  • Linear regression line

    The line for which the sum of the squares of the residuals is the smallest possible

  • Nappe

    See Right circular cone.

  • Order of magnitude (of n)

    log n.

  • Ordered pair

    A pair of real numbers (x, y), p. 12.

  • Parameter

    See Parametric equations.

  • Projection of u onto v

    The vector projv u = au # vƒvƒb2v

  • Quadric surface

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

  • Quotient rule of logarithms

    logb a R S b = logb R - logb S, R > 0, S > 0

  • Real number line

    A horizontal line that represents the set of real numbers.

  • Recursively defined sequence

    A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

  • Triangular number

    A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

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