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# 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 Patricia 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 5315 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
• Absolute minimum

A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

• Angle

Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

• Arccosine function

See Inverse cosine function.

• Bar chart

A rectangular graphical display of categorical data.

• Common difference

See Arithmetic sequence.

• Definite integral

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

• Demand curve

p = g(x), where x represents demand and p represents price

• Elements of a matrix

See Matrix element.

• Fibonacci sequence

The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

• Geometric sequence

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

• Line of symmetry

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

• Linear combination of vectors u and v

An expression au + bv , where a and b are real numbers

• Linear correlation

A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

• 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

• Outliers

Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

• PH

The measure of acidity

• Quotient rule of logarithms

logb a R S b = logb R - logb S, R > 0, S > 0

• Solve algebraically

Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

• Square matrix

A matrix whose number of rows equals the number of columns.

• Trichotomy property

For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

#### Textbook Survival Guides

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