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# Solutions for Chapter 10.5: More about Derivatives (Optional) ## Full solutions for Calculus For Biology and Medicine (Calculus for Life Sciences Series) | 3rd Edition

ISBN: 9780321644688 Solutions for Chapter 10.5: More about Derivatives (Optional)

Solutions for Chapter 10.5
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##### ISBN: 9780321644688

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus For Biology and Medicine (Calculus for Life Sciences Series), edition: 3. Chapter 10.5: More about Derivatives (Optional) includes 44 full step-by-step solutions. Since 44 problems in chapter 10.5: More about Derivatives (Optional) have been answered, more than 20308 students have viewed full step-by-step solutions from this chapter. Calculus For Biology and Medicine (Calculus for Life Sciences Series) was written by and is associated to the ISBN: 9780321644688.

Key Calculus Terms and definitions covered in this textbook
• Common difference

See Arithmetic sequence.

• Directed line segment

See Arrow.

• Divergence

A sequence or series diverges if it does not converge

• Future value of an annuity

The net amount of money returned from an annuity.

• Independent events

Events A and B such that P(A and B) = P(A)P(B)

• Index

• Linear factorization theorem

A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• Placebo

In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Positive angle

Angle generated by a counterclockwise rotation.

• Principle of mathematical induction

A principle related to mathematical induction.

• Range of a function

The set of all output values corresponding to elements in the domain.

• Rational function

Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

• Rational zeros theorem

A procedure for finding the possible rational zeros of a polynomial.

• Reciprocal identity

An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

• Right circular cone

The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

• Slope

Ratio change in y/change in x

• Standard deviation

A measure of how a data set is spread

• Upper bound for ƒ

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

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