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# Solutions for Chapter 3.4: The Chain Rule

## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770

Solutions for Chapter 3.4: The Chain Rule

Solutions for Chapter 3.4
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##### ISBN: 9781285774770

This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. Chapter 3.4: The Chain Rule includes 196 full step-by-step solutions. Since 196 problems in chapter 3.4: The Chain Rule have been answered, more than 184376 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Augmented matrix

A matrix that represents a system of equations.

• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Commutative properties

a + b = b + a ab = ba

• Difference identity

An identity involving a trigonometric function of u - v

• Distance (on a number line)

The distance between real numbers a and b, or |a - b|

• Hypotenuse

Side opposite the right angle in a right triangle.

• Imaginary part of a complex number

See Complex number.

• Interval notation

Notation used to specify intervals, pp. 4, 5.

See Polynomial function in x.

• Linear system

A system of linear equations

• Minor axis

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

• n factorial

For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

• Negative numbers

Real numbers shown to the left of the origin on a number line.

• Octants

The eight regions of space determined by the coordinate planes.

• Power regression

A procedure for fitting a curve y = a . x b to a set of data.

• Probability distribution

The collection of probabilities of outcomes in a sample space assigned by a probability function.

• Range (in statistics)

The difference between the greatest and least values in a data set.

• Reflection through the origin

x, y and (-x,-y) are reflections of each other through the origin.

• Reflexive property of equality

a = a

• Upper bound test for real zeros

A test for finding an upper bound for the real zeros of a polynomial.