 13.5.1: Using the Chain Rule In Exercises 14, find using the appropriate Ch...
 13.5.2: Using the Chain Rule In Exercises 14, find using the appropriate Ch...
 13.5.3: Using the Chain Rule In Exercises 14, find using the appropriate Ch...
 13.5.4: Using the Chain Rule In Exercises 14, find using the appropriate Ch...
 13.5.5: Using Different Methods In Exercises 510, find (a) by using the app...
 13.5.6: Using Different Methods In Exercises 510, find (a) by using the app...
 13.5.7: Using Different Methods In Exercises 510, find (a) by using the app...
 13.5.8: Using Different Methods In Exercises 510, find (a) by using the app...
 13.5.9: Using Different Methods In Exercises 510, find (a) by using the app...
 13.5.10: Using Different Methods In Exercises 510, find (a) by using the app...
 13.5.11: Projectile Motion In Exercises 11 and 12, the parametric equations ...
 13.5.12: Projectile Motion In Exercises 11 and 12, the parametric equations ...
 13.5.13: Finding Partial Derivatives In Exercises 1316, find and using the a...
 13.5.14: Finding Partial Derivatives In Exercises 1316, find and using the a...
 13.5.15: Finding Partial Derivatives In Exercises 1316, find and using the a...
 13.5.16: Finding Partial Derivatives In Exercises 1316, find and using the a...
 13.5.17: Using Different Methods In Exercises 1720, find and (a) by using th...
 13.5.18: Using Different Methods In Exercises 1720, find and (a) by using th...
 13.5.19: Using Different Methods In Exercises 1720, find and (a) by using th...
 13.5.20: Using Different Methods In Exercises 1720, find and (a) by using th...
 13.5.21: Finding a Derivative Implicitly In Exercises 2124, differentiate im...
 13.5.22: Finding a Derivative Implicitly In Exercises 2124, differentiate im...
 13.5.23: Finding a Derivative Implicitly In Exercises 2124, differentiate im...
 13.5.24: Finding a Derivative Implicitly In Exercises 2124, differentiate im...
 13.5.25: Finding Partial Derivatives Implicitly In Exercises 2532, different...
 13.5.26: Finding Partial Derivatives Implicitly In Exercises 2532, different...
 13.5.27: Finding Partial Derivatives Implicitly In Exercises 2532, different...
 13.5.28: Finding Partial Derivatives Implicitly In Exercises 2532, different...
 13.5.29: Finding Partial Derivatives Implicitly In Exercises 2532, different...
 13.5.30: Finding Partial Derivatives Implicitly In Exercises 2532, different...
 13.5.31: Finding Partial Derivatives Implicitly In Exercises 2532, different...
 13.5.32: Finding Partial Derivatives Implicitly In Exercises 2532, different...
 13.5.33: Finding Partial Derivatives Implicitly In Exercises 3336, different...
 13.5.34: Finding Partial Derivatives Implicitly In Exercises 3336, different...
 13.5.35: Finding Partial Derivatives Implicitly In Exercises 3336, different...
 13.5.36: Finding Partial Derivatives Implicitly In Exercises 3336, different...
 13.5.37: Homogeneous Functions A function is homogeneous of degree when In E...
 13.5.38: Homogeneous Functions A function is homogeneous of degree when In E...
 13.5.39: Homogeneous Functions A function is homogeneous of degree when In E...
 13.5.40: Homogeneous Functions A function is homogeneous of degree when In E...
 13.5.41: Using a Table of Values Let and where and are differentiable. Use t...
 13.5.42: Using a Table of Values Let and where and are differentiable. Use t...
 13.5.43: Chain Rule Let be a function in which and are functions of a single...
 13.5.44: Chain Rule Let be a function in which and are functions of two vari...
 13.5.45: Implicit Differentiation For give the rule for finding implicitly. ...
 13.5.46: HOW DO YOU SEE IT? The graph of the function is shown below. (a) As...
 13.5.47: Volume and Surface Area The radius of a right circular cylinder is ...
 13.5.48: Ideal Gas Law The Ideal Gas Law is where is the pressure, is the vo...
 13.5.49: Moment of Inertia An annular cylinder has an inside radius of and a...
 13.5.50: Volume and Surface Area The two radii of the frustum of a right cir...
 13.5.51: Using the Chain Rule Show that for and
 13.5.52: Using the Chain Rule Demonstrate the result of Exercise 51 for
 13.5.53: CauchyRiemann Equations Given the functions and verify that the Ca...
 13.5.54: CauchyRiemann Equations Demonstrate the result of Exercise 53 for ...
 13.5.55: Homogeneous Function Show that if is homogeneous of degree then [Hi...
Solutions for Chapter 13.5: Chain Rules for Functions of Several Variables
Full solutions for Calculus: Early Transcendental Functions  6th Edition
ISBN: 9781285774770
Solutions for Chapter 13.5: Chain Rules for Functions of Several Variables
Get Full SolutionsSince 55 problems in chapter 13.5: Chain Rules for Functions of Several Variables have been answered, more than 45469 students have viewed full stepbystep solutions from this chapter. Chapter 13.5: Chain Rules for Functions of Several Variables includes 55 full stepbystep solutions. 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: 9781285774770. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6.

Addition property of inequality
If u < v , then u + w < v + w

Annuity
A sequence of equal periodic payments.

Backtoback stemplot
A stemplot with leaves on either side used to compare two distributions.

Branches
The two separate curves that make up a hyperbola

Cone
See Right circular cone.

Cycloid
The graph of the parametric equations

Degree of a polynomial (function)
The largest exponent on the variable in any of the terms of the polynomial (function)

Equivalent systems of equations
Systems of equations that have the same solution.

Graph of an inequality in x and y
The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

Imaginary axis
See Complex plane.

Logistic regression
A procedure for fitting a logistic curve to a set of data

Monomial function
A polynomial with exactly one term.

Partial fractions
The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

Quotient identities
tan ?= sin ?cos ?and cot ?= cos ? sin ?

Standard deviation
A measure of how a data set is spread

Tangent line of ƒ at x = a
The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

Terminal side of an angle
See Angle.

Time plot
A line graph in which time is measured on the horizontal axis.

Translation
See Horizontal translation, Vertical translation.

Variance
The square of the standard deviation.