# Solutions for Chapter 4.2: The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials ## Full solutions for Calculus For Biology and Medicine (Calculus for Life Sciences Series) | 3rd Edition

ISBN: 9780321644688 Solutions for Chapter 4.2: The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials

Solutions for Chapter 4.2
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##### ISBN: 9780321644688

This expansive textbook survival guide covers the following chapters and their solutions. Calculus For Biology and Medicine (Calculus for Life Sciences Series) was written by and is associated to the ISBN: 9780321644688. Since 82 problems in chapter 4.2: The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials have been answered, more than 11217 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus For Biology and Medicine (Calculus for Life Sciences Series), edition: 3. Chapter 4.2: The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials includes 82 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook

If u < v , then u + w < v + w

• Algebraic expression

A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

• Annual percentage yield (APY)

The rate that would give the same return if interest were computed just once a year

• Division

a b = aa 1 b b, b Z 0

• Explicitly defined sequence

A sequence in which the kth term is given as a function of k.

• 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.

• Integers

The numbers . . ., -3, -2, -1, 0,1,2,...2

• Inverse variation

See Power function.

• Multiplication principle of counting

A principle used to find the number of ways an event can occur.

• Natural logarithmic function

The inverse of the exponential function y = ex, denoted by y = ln x.

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

• Random variable

A function that assigns real-number values to the outcomes in a sample space.

• Rational numbers

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

• Regression model

An equation found by regression and which can be used to predict unknown values.

• Solve a system

To find all solutions of a system.

• Standard deviation

A measure of how a data set is spread

• Vertex of an angle

See Angle.

• Xscl

The scale of the tick marks on the x-axis in a viewing window.

• Zero vector

The vector <0,0> or <0,0,0>.

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