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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 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 21548 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.

• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Cofunction identity

An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

• Cone

See Right circular cone.

• Conjugate axis of a hyperbola

The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

• Convergence of a series

A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

• Degree

Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution

• Event

A subset of a sample space.

• Hyperbola

A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

• Left-hand limit of f at x a

The limit of ƒ as x approaches a from the left.

• Limit

limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

• Midpoint (in a coordinate plane)

For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

• Principle of mathematical induction

A principle related to mathematical induction.

• Proportional

See Power function

• Second quartile

See Quartile.

• Semiminor axis

The distance from the center of an ellipse to a point on the ellipse along a line perpendicular to the major axis.

• Sequence

See Finite sequence, Infinite sequence.

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

• Solve an equation or inequality

To find all solutions of the equation or inequality

• Transitive property

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

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