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Solutions for Chapter 2.2: THE DERIVATIVE FUNCTION

Full solutions for Calculus: Early Transcendentals, | 10th Edition

ISBN: 9780470647691

Solutions for Chapter 2.2: THE DERIVATIVE FUNCTION

Solutions for Chapter 2.2
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ISBN: 9780470647691

Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. Since 56 problems in chapter 2.2: THE DERIVATIVE FUNCTION have been answered, more than 40053 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 2.2: THE DERIVATIVE FUNCTION includes 56 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Arc length formula

The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Commutative properties

a + b = b + a ab = ba

• Coterminal angles

Two angles having the same initial side and the same terminal side

• Equal matrices

Matrices that have the same order and equal corresponding elements.

• equation of a quadratic function

ƒ(x) = ax 2 + bx + c(a ? 0)

• Identity properties

a + 0 = a, a ? 1 = a

• Logarithmic re-expression of data

Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

• Natural logarithmic function

The inverse of the exponential function y = ex, denoted by y = ln x.

• Nautical mile

Length of 1 minute of arc along the Earth’s equator.

• nth power of a

The number with n factors of a , where n is the exponent and a is the base.

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Plane in Cartesian space

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

• Polar coordinates

The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

• Polynomial in x

An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

• Power regression

A procedure for fitting a curve y = a . x b to a set of data.

• Quotient identities

tan ?= sin ?cos ?and cot ?= cos ? sin ?

The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

• Relation

A set of ordered pairs of real numbers.

• Stem

The initial digit or digits of a number in a stemplot.

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