 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 7937 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 Patricia 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.

Addition property of inequality
If u < v , then u + w < v + w

Arcsecant function
See Inverse secant function.

Compound fraction
A fractional expression in which the numerator or denominator may contain fractions

Magnitude of an arrow
The magnitude of PQ is the distance between P and Q

Multiplicative inverse of a complex number
The reciprocal of a + bi, or 1 a + bi = a a2 + b2 ba2 + b2 i

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

Order of magnitude (of n)
log n.

Partial sums
See Sequence of partial sums.

Polynomial function
A function in which ƒ(x)is a polynomial in x, p. 158.

Quadratic formula
The formula x = b 2b2  4ac2a used to solve ax 2 + bx + c = 0.

Radian measure
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.

Real number line
A horizontal line that represents the set of real numbers.

Resolving a vector
Finding the horizontal and vertical components of a vector.

Scalar
A real number.

Semimajor axis
The distance from the center to a vertex of an ellipse.

Statute mile
5280 feet.

Stretch of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal stretch) by the constant 1/c, or all of the ycoordinates (vertical stretch) of the points by a constant c, c, > 1.

Upper bound for real zeros
A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

Whole numbers
The numbers 0, 1, 2, 3, ... .

zaxis
Usually the third dimension in Cartesian space.
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