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# Solutions for Chapter 2.2: THE DERIVATIVE FUNCTION ## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920 Solutions for Chapter 2.2: THE DERIVATIVE FUNCTION

Solutions for Chapter 2.2
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##### ISBN: 9781118174920

Since 30 problems in chapter 2.2: THE DERIVATIVE FUNCTION have been answered, more than 33427 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Applied Calculus was written by and is associated to the ISBN: 9781118174920. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 2.2: THE DERIVATIVE FUNCTION includes 30 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Acute angle

An angle whose measure is between 0° and 90°

• artesian coordinate system

An association between the points in a plane and ordered pairs of real numbers; or an association between the points in three-dimensional space and ordered triples of real numbers

• Branches

The two separate curves that make up a hyperbola

• Decreasing on an interval

A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

• Deductive reasoning

The process of utilizing general information to prove a specific hypothesis

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Interval

Connected subset of the real number line with at least two points, p. 4.

• Logarithmic regression

See Natural logarithmic regression

• Mathematical model

A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

• Negative linear correlation

See Linear correlation.

• NINT (ƒ(x), x, a, b)

A calculator approximation to ?ab ƒ(x)dx

• Numerical derivative of ƒ at a

NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

• Removable discontinuity at x = a

lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

• Synthetic division

A procedure used to divide a polynomial by a linear factor, x - a

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

• Upper bound test for real zeros

A test for finding an upper bound for the real zeros of a polynomial.

• Vertices of a hyperbola

The points where a hyperbola intersects the line containing its foci.

• yz-plane

The points (0, y, z) in Cartesian space.

• Zero factorial

See n factorial.

• Zero vector

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

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