 3.3.1: In Exercises 1 and 2, use the graph of to find (a) the largest open...
 3.3.2: In Exercises 1 and 2, use the graph of to find (a) the largest open...
 3.3.3: In Exercises 3 8, use the graph to estimate the open intervals on w...
 3.3.4: In Exercises 3 8, use the graph to estimate the open intervals on w...
 3.3.5: In Exercises 3 8, use the graph to estimate the open intervals on w...
 3.3.6: In Exercises 3 8, use the graph to estimate the open intervals on w...
 3.3.7: In Exercises 3 8, use the graph to estimate the open intervals on w...
 3.3.8: In Exercises 3 8, use the graph to estimate the open intervals on w...
 3.3.9: In Exercises 9 16, identify the open intervals on which the functio...
 3.3.10: In Exercises 9 16, identify the open intervals on which the functio...
 3.3.11: In Exercises 9 16, identify the open intervals on which the functio...
 3.3.12: In Exercises 9 16, identify the open intervals on which the functio...
 3.3.13: In Exercises 9 16, identify the open intervals on which the functio...
 3.3.14: In Exercises 9 16, identify the open intervals on which the functio...
 3.3.15: In Exercises 9 16, identify the open intervals on which the functio...
 3.3.16: In Exercises 9 16, identify the open intervals on which the functio...
 3.3.17: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.18: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.19: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.20: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.21: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.22: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.23: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.24: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.25: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.26: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.27: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.28: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.29: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.30: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.31: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.32: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.33: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.34: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.35: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.36: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.37: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.38: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.39: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.40: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.41: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.42: In Exercises 17 42, (a) find the critical numbers of (if any), (b) ...
 3.3.43: In Exercises 4350, consider the function on the interval For each f...
 3.3.44: In Exercises 4350, consider the function on the interval For each f...
 3.3.45: In Exercises 4350, consider the function on the interval For each f...
 3.3.46: In Exercises 4350, consider the function on the interval For each f...
 3.3.47: In Exercises 4350, consider the function on the interval For each f...
 3.3.48: In Exercises 4350, consider the function on the interval For each f...
 3.3.49: In Exercises 4350, consider the function on the interval For each f...
 3.3.50: In Exercises 4350, consider the function on the interval For each f...
 3.3.51: In Exercises 5156, (a) use a computer algebra system to differentia...
 3.3.52: In Exercises 5156, (a) use a computer algebra system to differentia...
 3.3.53: In Exercises 5156, (a) use a computer algebra system to differentia...
 3.3.54: In Exercises 5156, (a) use a computer algebra system to differentia...
 3.3.55: In Exercises 5156, (a) use a computer algebra system to differentia...
 3.3.56: In Exercises 5156, (a) use a computer algebra system to differentia...
 3.3.57: In Exercises 57 and 58, use symmetry, extrema, and zeros to sketch ...
 3.3.58: In Exercises 57 and 58, use symmetry, extrema, and zeros to sketch ...
 3.3.59: In Exercises 59 64, the graph of is shown in the figure. Sketch a g...
 3.3.60: In Exercises 59 64, the graph of is shown in the figure. Sketch a g...
 3.3.61: In Exercises 59 64, the graph of is shown in the figure. Sketch a g...
 3.3.62: In Exercises 59 64, the graph of is shown in the figure. Sketch a g...
 3.3.63: In Exercises 59 64, the graph of is shown in the figure. Sketch a g...
 3.3.64: In Exercises 59 64, the graph of is shown in the figure. Sketch a g...
 3.3.65: In Exercises 6568, use the graph of to (a) identify the interval(s)...
 3.3.66: In Exercises 6568, use the graph of to (a) identify the interval(s)...
 3.3.67: In Exercises 6568, use the graph of to (a) identify the interval(s)...
 3.3.68: In Exercises 6568, use the graph of to (a) identify the interval(s)...
 3.3.69: In Exercises 69 and 70, use the graph of to (a) identify the critic...
 3.3.70: In Exercises 69 and 70, use the graph of to (a) identify the critic...
 3.3.71: In Exercises 7176, assume that is differentiable for all The signs ...
 3.3.72: In Exercises 7176, assume that is differentiable for all The signs ...
 3.3.73: In Exercises 7176, assume that is differentiable for all The signs ...
 3.3.74: In Exercises 7176, assume that is differentiable for all The signs ...
 3.3.75: In Exercises 7176, assume that is differentiable for all The signs ...
 3.3.76: In Exercises 7176, assume that is differentiable for all The signs ...
 3.3.77: Sketch the graph of the arbitrary function such that fx > 0, undefi...
 3.3.78: Sketch the graph of the arbitrary function such that fx > 0, undefi...
 3.3.79: In Exercises 79 and 80, the function is differentiable on the indic...
 3.3.80: In Exercises 79 and 80, the function is differentiable on the indic...
 3.3.81: A ball bearing is placed on an inclined plane and begins to roll. T...
 3.3.82: The concentration of a chemical in the bloodstream hours after inje...
 3.3.83: Consider the functions and on the interval (a) Complete the table a...
 3.3.84: Consider the functions and on the interval (a) Complete the table a...
 3.3.85: Coughing forces the trachea (windpipe) to contract, which affects t...
 3.3.86: The electric power in watts in a directcurrent circuit with two re...
 3.3.87: Electrical Resistance The resistance of a certain type of resistor ...
 3.3.88: The endofyear assets of the Medicare Hospital Insurance Trust Fun...
 3.3.89: In Exercises 8992, the function describes the motion of a particle ...
 3.3.90: In Exercises 8992, the function describes the motion of a particle ...
 3.3.91: In Exercises 8992, the function describes the motion of a particle ...
 3.3.92: In Exercises 8992, the function describes the motion of a particle ...
 3.3.93: In Exercises 93 and 94, the graph shows the position of a particle ...
 3.3.94: In Exercises 93 and 94, the graph shows the position of a particle ...
 3.3.95: In Exercises 95 98, find a polynomial function that has only the sp...
 3.3.96: In Exercises 95 98, find a polynomial function that has only the sp...
 3.3.97: In Exercises 95 98, find a polynomial function that has only the sp...
 3.3.98: In Exercises 95 98, find a polynomial function that has only the sp...
 3.3.99: In Exercises 99103, determine whether the statement is true or fals...
 3.3.100: The product of two increasing functions is increasing
 3.3.101: Every thdegree polynomial has critical numbers.
 3.3.102: An thdegree polynomial has at most critical numbers.
 3.3.103: There is a relative maximum or minimum at each critical number.
 3.3.104: Prove the second case of Theorem 3.5.
 3.3.105: Prove the second case of Theorem 3.6
 3.3.106: Use the definitions of increasing and decreasing functions to prove...
 3.3.107: Use the definitions of increasing and decreasing functions to prove...
 3.3.108: Find the minimum value of for real numbers x
Solutions for Chapter 3.3: Increasing and Decreasing Functions and the First Derivative Test
Full solutions for Calculus  9th Edition
ISBN: 9780547167022
Solutions for Chapter 3.3: Increasing and Decreasing Functions and the First Derivative Test
Get Full SolutionsChapter 3.3: Increasing and Decreasing Functions and the First Derivative Test includes 108 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus , edition: 9. Since 108 problems in chapter 3.3: Increasing and Decreasing Functions and the First Derivative Test have been answered, more than 61206 students have viewed full stepbystep solutions from this chapter. Calculus was written by and is associated to the ISBN: 9780547167022.

Absolute value of a vector
See Magnitude of a vector.

Arccosecant function
See Inverse cosecant function.

Categorical variable
In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

Coordinate plane
See Cartesian coordinate system.

Demand curve
p = g(x), where x represents demand and p represents price

Determinant
A number that is associated with a square matrix

Dihedral angle
An angle formed by two intersecting planes,

DMS measure
The measure of an angle in degrees, minutes, and seconds

equation of a hyperbola
(x  h)2 a2  (y  k)2 b2 = 1 or (y  k)2 a2  (x  h)2 b2 = 1

Horizontal asymptote
The line is a horizontal asymptote of the graph of a function ƒ if lim x: q ƒ(x) = or lim x: q ƒ(x) = b

Intercept
Point where a curve crosses the x, y, or zaxis in a graph.

Invertible linear system
A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

Parametrization
A set of parametric equations for a curve.

Radicand
See Radical.

Random behavior
Behavior that is determined only by the laws of probability.

Richter scale
A logarithmic scale used in measuring the intensity of an earthquake.

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

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

Vertex of a parabola
The point of intersection of a parabola and its line of symmetry.

Ymax
The yvalue of the top of the viewing window.