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Solutions for Chapter 14.5: THE CHAIN RULE

Multivariable Calculus, | 7th Edition | ISBN: 9780538497879 | Authors: James Stewart

Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879

Multivariable Calculus, | 7th Edition | ISBN: 9780538497879 | Authors: James Stewart

Solutions for Chapter 14.5: THE CHAIN RULE

Solutions for Chapter 14.5
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Textbook: Multivariable Calculus,
Edition: 7
Author: James Stewart
ISBN: 9780538497879

Since 59 problems in chapter 14.5: THE CHAIN RULE have been answered, more than 23588 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: Multivariable Calculus,, edition: 7. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879. Chapter 14.5: THE CHAIN RULE includes 59 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Binomial probability

    In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

  • Bounded above

    A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

  • Complements or complementary angles

    Two angles of positive measure whose sum is 90°

  • Compounded annually

    See Compounded k times per year.

  • Compounded continuously

    Interest compounded using the formula A = Pert

  • Cube root

    nth root, where n = 3 (see Principal nth root),

  • Definite integral

    The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

  • Dot product

    The number found when the corresponding components of two vectors are multiplied and then summed

  • Focal length of a parabola

    The directed distance from the vertex to the focus.

  • Implied domain

    The domain of a function’s algebraic expression.

  • Increasing on an interval

    A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

  • Mapping

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

  • Natural logarithmic function

    The inverse of the exponential function y = ex, denoted by y = ln x.

  • Negative association

    A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

  • Quotient rule of logarithms

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

  • Rational function

    Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

  • 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.

  • Statistic

    A number that measures a quantitative variable for a sample from a population.

  • Variation

    See Power function.

  • y-axis

    Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.