 2.5.1: In Exercises 18, identify the inside function, and the outside func...
 2.5.2: In Exercises 18, identify the inside function, and the outside func...
 2.5.3: In Exercises 18, identify the inside function, and the outside func...
 2.5.4: In Exercises 18, identify the inside function, and the outside func...
 2.5.5: In Exercises 18, identify the inside function, and the outside func...
 2.5.6: In Exercises 18, identify the inside function, and the outside func...
 2.5.7: In Exercises 18, identify the inside function, and the outside func...
 2.5.8: In Exercises 18, identify the inside function, and the outside func...
 2.5.9: In Exercises 914, find and
 2.5.10: In Exercises 914, find and
 2.5.11: In Exercises 914, find and
 2.5.12: In Exercises 914, find and
 2.5.13: In Exercises 914, find and
 2.5.14: In Exercises 914, find and
 2.5.15: In Exercises 1522, match the function with the rule that you would ...
 2.5.16: In Exercises 1522, match the function with the rule that you would ...
 2.5.17: In Exercises 1522, match the function with the rule that you would ...
 2.5.18: In Exercises 1522, match the function with the rule that you would ...
 2.5.19: In Exercises 1522, match the function with the rule that you would ...
 2.5.20: In Exercises 1522, match the function with the rule that you would ...
 2.5.21: In Exercises 1522, match the function with the rule that you would ...
 2.5.22: In Exercises 1522, match the function with the rule that you would ...
 2.5.23: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.24: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.25: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.26: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.27: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.28: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.29: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.30: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.31: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.32: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.33: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.34: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.35: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.36: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.37: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.38: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.39: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.40: In Exercises 2340, use the General Power Rule to find the derivativ...
 2.5.41: In Exercises 4146, find an equation of the tangent line to the grap...
 2.5.42: In Exercises 4146, find an equation of the tangent line to the grap...
 2.5.43: In Exercises 4146, find an equation of the tangent line to the grap...
 2.5.44: In Exercises 4146, find an equation of the tangent line to the grap...
 2.5.45: In Exercises 4146, find an equation of the tangent line to the grap...
 2.5.46: In Exercises 4146, find an equation of the tangent line to the grap...
 2.5.47: In Exercises 4750, use a symbolic differentiation utility to find t...
 2.5.48: In Exercises 4750, use a symbolic differentiation utility to find t...
 2.5.49: In Exercises 4750, use a symbolic differentiation utility to find t...
 2.5.50: In Exercises 4750, use a symbolic differentiation utility to find t...
 2.5.51: In Exercises 5166, find the derivative of the function. State which...
 2.5.52: In Exercises 5166, find the derivative of the function. State which...
 2.5.53: In Exercises 5166, find the derivative of the function. State which...
 2.5.54: In Exercises 5166, find the derivative of the function. State which...
 2.5.55: In Exercises 5166, find the derivative of the function. State which...
 2.5.56: In Exercises 5166, find the derivative of the function. State which...
 2.5.57: In Exercises 5166, find the derivative of the function. State which...
 2.5.58: In Exercises 5166, find the derivative of the function. State which...
 2.5.59: In Exercises 5166, find the derivative of the function. State which...
 2.5.60: In Exercises 5166, find the derivative of the function. State which...
 2.5.61: In Exercises 5166, find the derivative of the function. State which...
 2.5.62: In Exercises 5166, find the derivative of the function. State which...
 2.5.63: In Exercises 5166, find the derivative of the function. State which...
 2.5.64: In Exercises 5166, find the derivative of the function. State which...
 2.5.65: In Exercises 5166, find the derivative of the function. State which...
 2.5.66: In Exercises 5166, find the derivative of the function. State which...
 2.5.67: In Exercises 6772, find an equation of the tangent line to the grap...
 2.5.68: In Exercises 6772, find an equation of the tangent line to the grap...
 2.5.69: In Exercises 6772, find an equation of the tangent line to the grap...
 2.5.70: In Exercises 6772, find an equation of the tangent line to the grap...
 2.5.71: In Exercises 6772, find an equation of the tangent line to the grap...
 2.5.72: In Exercises 6772, find an equation of the tangent line to the grap...
 2.5.73: Compound Interest You deposit $1000 in an account with an annual in...
 2.5.74: Environment An environmental study indicates that the average daily...
 2.5.75: Biology The number of bacteria in a culture after days is modeled b...
 2.5.76: Depreciation The value of a machine years after it is purchased is ...
 2.5.77: Depreciation Repeat Exercise 76 given that the value of the machine...
 2.5.78: Credit Card Rate The average annual rate r (in percent form) for co...
 2.5.79: True or False? In Exercises 79 and 80, determine whether the statem...
 2.5.80: True or False? In Exercises 79 and 80, determine whether the statem...
 2.5.81: Given that find for each of the following. (a) and and (b) and and
Solutions for Chapter 2.5: The Chain Rule
Full solutions for Calculus: An Applied Approach  8th Edition
ISBN: 9780618958252
Solutions for Chapter 2.5: The Chain Rule
Get Full SolutionsSince 81 problems in chapter 2.5: The Chain Rule have been answered, more than 21856 students have viewed full stepbystep 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 stepbystep 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.

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 + ex

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 = an1.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.