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# Solutions for Chapter 3.3: THE CHAIN RULE

## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Solutions for Chapter 3.3: THE CHAIN RULE

Solutions for Chapter 3.3
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##### ISBN: 9781118174920

Chapter 3.3: THE CHAIN RULE includes 51 full step-by-step solutions. Applied Calculus was written by Patricia and is associated to the ISBN: 9781118174920. Since 51 problems in chapter 3.3: THE CHAIN RULE have been answered, more than 6904 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Algebraic model

An equation that relates variable quantities associated with phenomena being studied

• Annuity

A sequence of equal periodic payments.

• Base

See Exponential function, Logarithmic function, nth power of a.

• Constant of variation

See Power function.

• Dependent variable

Variable representing the range value of a function (usually y)

• Direct variation

See Power function.

• Implied domain

The domain of a function’s algebraic expression.

• Inverse sine function

The function y = sin-1 x

• Length of an arrow

See Magnitude of an arrow.

• Logarithmic re-expression of data

Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

• Minor axis

The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

• Multiplicative inverse of a real number

The reciprocal of b, or 1/b, b Z 0

• One-to-one rule of logarithms

x = y if and only if logb x = logb y.

• Order of an m x n matrix

The order of an m x n matrix is m x n.

• Power function

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

• Product of complex numbers

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

• Quotient polynomial

See Division algorithm for polynomials.

• Rational numbers

Numbers that can be written as a/b, where a and b are integers, and b ? 0.

• Right-hand limit of ƒ at x a

The limit of ƒ as x approaches a from the right.

• Venn diagram

A visualization of the relationships among events within a sample space.

#### Textbook Survival Guides

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