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# Solutions for Chapter 2.7: Derivatives and Rates of Change ## Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909 Solutions for Chapter 2.7: Derivatives and Rates of Change

Solutions for Chapter 2.7
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##### ISBN: 9780538497909

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. Chapter 2.7: Derivatives and Rates of Change includes 54 full step-by-step solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. Since 54 problems in chapter 2.7: Derivatives and Rates of Change have been answered, more than 29800 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Ambiguous case

The case in which two sides and a nonincluded angle can determine two different triangles

• Amplitude

See Sinusoid.

• Arccosecant function

See Inverse cosecant function.

• Augmented matrix

A matrix that represents a system of equations.

• Binomial coefficients

The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

• 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

• End behavior

The behavior of a graph of a function as.

• equation of a quadratic function

ƒ(x) = ax 2 + bx + c(a ? 0)

• First octant

The points (x, y, z) in space with x > 0 y > 0, and z > 0.

• Identity properties

a + 0 = a, a ? 1 = a

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Negative linear correlation

See Linear correlation.

• Product of functions

(ƒg)(x) = ƒ(x)g(x)

• Random behavior

Behavior that is determined only by the laws of probability.

• Recursively defined sequence

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

• Unbounded interval

An interval that extends to -? or ? (or both).

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

• Variable (in statistics)

A characteristic of individuals that is being identified or measured.

• Venn diagram

A visualization of the relationships among events within a sample space.

• z-axis

Usually the third dimension in Cartesian space.

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