 82.Q1: Sketch: y = x2
 82.Q2: Sketch: y = x3
 82.Q3: Sketch: y = cos x
 82.Q4: Sketch: y = sin1 x
 82.Q5: Sketch: y = ex
 82.Q6: Sketch: y = ln x
 82.Q7: Sketch: y = tan x
 82.Q8: Sketch: y = x
 82.Q9: Sketch: y = 1/x
 82.Q10: Sketch: x = 2
 82.1: For 110, sketch numberline graphs for and that show what happens t...
 82.2: For 110, sketch numberline graphs for and that show what happens t...
 82.3: For 110, sketch numberline graphs for and that show what happens t...
 82.4: For 110, sketch numberline graphs for and that show what happens t...
 82.5: For 110, sketch numberline graphs for and that show what happens t...
 82.6: For 110, sketch numberline graphs for and that show what happens t...
 82.7: For 110, sketch numberline graphs for and that show what happens t...
 82.8: For 110, sketch numberline graphs for and that show what happens t...
 82.9: For 110, sketch numberline graphs for and that show what happens t...
 82.10: For 110, sketch numberline graphs for and that show what happens t...
 82.11: For 1116, on a copy of the numberline graphs, mark information abo...
 82.12: For 1116, on a copy of the numberline graphs, mark information abo...
 82.13: For 1116, on a copy of the numberline graphs, mark information abo...
 82.14: For 1116, on a copy of the numberline graphs, mark information abo...
 82.15: For 1116, on a copy of the numberline graphs, mark information abo...
 82.16: For 1116, on a copy of the numberline graphs, mark information abo...
 82.17: For 1720, the graph of y = (x), the derivative of a continuous func...
 82.18: For 1720, the graph of y = (x), the derivative of a continuous func...
 82.19: For 1720, the graph of y = (x), the derivative of a continuous func...
 82.20: For 1720, the graph of y = (x), the derivative of a continuous func...
 82.21: For 2126, show that a critical point occurs at x = 2, and use the s...
 82.22: For 2126, show that a critical point occurs at x = 2, and use the s...
 82.23: For 2126, show that a critical point occurs at x = 2, and use the s...
 82.24: For 2126, show that a critical point occurs at x = 2, and use the s...
 82.25: For 2126, show that a critical point occurs at x = 2, and use the s...
 82.26: For 2126, show that a critical point occurs at x = 2, and use the s...
 82.27: Let f(x) = 6x5 10x3 (Figure 82q). Figure 82qa. Use derivatives to...
 82.28: Let f(x) = 0.1x4 3.2x + 7 (Figure 82r). Figure 82r a. Use derivat...
 82.29: Let f(x) = xex (Figure 82s). Figure 82s a. Use derivatives to fin...
 82.30: Let f(x) = x2 ln x (Figure 82t). Figure 82t a. Use derivatives to...
 82.31: Let f(x) = x5/3 + 5x2/3 (Figure 82u). Figure 82u a. Use derivativ...
 82.32: Let f(x) = x1.2 3x0.2 (Figure 82v). Figure 82v a. Use derivatives...
 82.33: For 3336, a. Plot the graph. Using TRACE, and the maximum and minim...
 82.34: For 3336, a. Plot the graph. Using TRACE, and the maximum and minim...
 82.35: For 3336, a. Plot the graph. Using TRACE, and the maximum and minim...
 82.36: For 3336, a. Plot the graph. Using TRACE, and the maximum and minim...
 82.37: Point of Inflection of a Cubic Function: The general equation of a ...
 82.38: Maximum and Minimum Points of a Cubic Function: The maximum and min...
 82.39: Local maximum at the point (5, 10) and point of inflection at (3, 2)
 82.40: Local maximum at the point (1, 61) and point of inflection at (2, 7)
 82.41: Concavity Concept Problem: Figure 82w shows the graph of f(x) = x3...
 82.42: Naive Graphing Problem: Ima Evian plots the graph of y = x3, using ...
 82.43: Connection Between a Zero First Derivative and the Graph: If (c) = ...
 82.44: Infinite Curvature Problem: Show that the graph of f(x) = 10(x 1)4/...
 82.45: . Exponential and Polynomial Function LookAlike Problem: Figure 8...
 82.46: A Pathological Function: Consider the piecewise function f(x) = Plo...
 82.47: Journal Problem: Update your journal with what youve learned since ...
Solutions for Chapter 82: Critical Points and Points of Inflection
Full solutions for Calculus: Concepts and Applications  2nd Edition
ISBN: 9781559536547
Solutions for Chapter 82: Critical Points and Points of Inflection
Get Full SolutionsSince 57 problems in chapter 82: Critical Points and Points of Inflection have been answered, more than 18535 students have viewed full stepbystep solutions from this chapter. Chapter 82: Critical Points and Points of Inflection includes 57 full stepbystep solutions. Calculus: Concepts and Applications was written by and is associated to the ISBN: 9781559536547. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2.

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

Combinatorics
A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

Distance (in Cartesian space)
The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x )  x 2)2 + (y1  y2)2 + (z 1  z 2)2

Dot product
The number found when the corresponding components of two vectors are multiplied and then summed

Elementary row operations
The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

Focal axis
The line through the focus and perpendicular to the directrix of a conic.

Instantaneous velocity
The instantaneous rate of change of a position function with respect to time, p. 737.

Limaçon
A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

Line of symmetry
A line over which a graph is the mirror image of itself

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

NINT (ƒ(x), x, a, b)
A calculator approximation to ?ab ƒ(x)dx

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

Seconddegree equation in two variables
Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

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

Standard form of a polynomial function
ƒ(x) = an x n + an1x n1 + Á + a1x + a0

Tangent
The function y = tan x

Transitive property
If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

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

Variable (in statistics)
A characteristic of individuals that is being identified or measured.

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