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# Solutions for Chapter 3.1: Derivatives of Polynomials and Exponential Functions ## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397 Solutions for Chapter 3.1: Derivatives of Polynomials and Exponential Functions

Solutions for Chapter 3.1
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##### ISBN: 9780534393397

This expansive textbook survival guide covers the following chapters and their solutions. Calculus, was written by and is associated to the ISBN: 9780534393397. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Since 50 problems in chapter 3.1: Derivatives of Polynomials and Exponential Functions have been answered, more than 45453 students have viewed full step-by-step solutions from this chapter. Chapter 3.1: Derivatives of Polynomials and Exponential Functions includes 50 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Boundary

The set of points on the “edge” of a region

• Constant of variation

See Power function.

• Direction angle of a vector

The angle that the vector makes with the positive x-axis

• Empty set

A set with no elements

• Function

A relation that associates each value in the domain with exactly one value in the range.

• Fundamental

Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

• Future value of an annuity

The net amount of money returned from an annuity.

• Inverse properties

a + 1-a2 = 0, a # 1a

• Law of sines

sin A a = sin B b = sin C c

• Line of symmetry

A line over which a graph is the mirror image of itself

• Lower bound for real zeros

A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

• Multiplication property of inequality

If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Perpendicular lines

Two lines that are at right angles to each other

• Phase shift

See Sinusoid.

• Random behavior

Behavior that is determined only by the laws of probability.

• Sum of functions

(ƒ + g)(x) = ƒ(x) + g(x)

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

• Vertical component

See Component form of a vector.

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