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# Solutions for Chapter 3: Differentiation

## Full solutions for Thomas' Calculus | 12th Edition

ISBN: 9780321587992

Solutions for Chapter 3: Differentiation

Solutions for Chapter 3
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##### ISBN: 9780321587992

Thomas' Calculus was written by and is associated to the ISBN: 9780321587992. Since 124 problems in chapter 3: Differentiation have been answered, more than 5196 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Thomas' Calculus, edition: 12. Chapter 3: Differentiation includes 124 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Base

See Exponential function, Logarithmic function, nth power of a.

• Binomial theorem

A theorem that gives an expansion formula for (a + b)n

• Branches

The two separate curves that make up a hyperbola

• Cube root

nth root, where n = 3 (see Principal nth root),

• Directed angle

See Polar coordinates.

• Directed distance

See Polar coordinates.

• End behavior asymptote of a rational function

A polynomial that the function approaches as.

• Exponential growth function

Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

• Factor

In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

• Irrational zeros

Zeros of a function that are irrational numbers.

• Law of sines

sin A a = sin B b = sin C c

• Linear correlation

A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

A measure that tells how widely distributed data are.

• Product of a scalar and a vector

The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

• Solve a triangle

To find one or more unknown sides or angles of a triangle

• Statistic

A number that measures a quantitative variable for a sample from a population.

A graph in which (-x, -y) is on the the graph whenever (x, y) is; or a graph in which (-r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

• Unit ratio

See Conversion factor.

• Vector

An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

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