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# Solutions for Chapter 11: Partial Derivatives ## Full solutions for Essential Calculus | 2nd Edition

ISBN: 9781133112297 Solutions for Chapter 11: Partial Derivatives

Solutions for Chapter 11
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##### ISBN: 9781133112297

Summary of Chapter 11: Partial Derivatives

So far we have dealt with the calculus of functions of a single variable. But, in the real world, physical quantities often depend on two or more variables, so in this chapter we turn our attention to functions of several variables and extend the basic ideas of differential calculus to such functions.

Essential Calculus was written by and is associated to the ISBN: 9781133112297. Since 60 problems in chapter 11: Partial Derivatives have been answered, more than 26551 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Essential Calculus, edition: 2. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 11: Partial Derivatives includes 60 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Confounding variable

A third variable that affects either of two variables being studied, making inferences about causation unreliable

• Differentiable at x = a

ƒ'(a) exists

• Feasible points

Points that satisfy the constraints in a linear programming problem.

• Horizontal Line Test

A test for determining whether the inverse of a relation is a function.

• Inverse cosine function

The function y = cos-1 x

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• Modified boxplot

A boxplot with the outliers removed.

• Natural numbers

The numbers 1, 2, 3, . . . ,.

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.

• Regression model

An equation found by regression and which can be used to predict unknown values.

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• Right triangle

A triangle with a 90° angle.

• Secant line of ƒ

A line joining two points of the graph of ƒ.

• Slope-intercept form (of a line)

y = mx + b

• Speed

The magnitude of the velocity vector, given by distance/time.

• Terminal side of an angle

See Angle.

• Transpose of a matrix

The matrix AT obtained by interchanging the rows and columns of A.

• Unit vector

Vector of length 1.

• Vertex of a cone

See Right circular cone.

• Viewing window

The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].