 4.3.1: In Exercises 1 and 2, use the graph of to find (a) the largest open...
 4.3.2: In Exercises 1 and 2, use the graph of to find (a) the largest open...
 4.3.3: In Exercises 316, identify the open intervals on which the function...
 4.3.4: In Exercises 316, identify the open intervals on which the function...
 4.3.5: In Exercises 316, identify the open intervals on which the function...
 4.3.6: In Exercises 316, identify the open intervals on which the function...
 4.3.7: In Exercises 316, identify the open intervals on which the function...
 4.3.8: In Exercises 316, identify the open intervals on which the function...
 4.3.9: In Exercises 316, identify the open intervals on which the function...
 4.3.10: In Exercises 316, identify the open intervals on which the function...
 4.3.11: In Exercises 316, identify the open intervals on which the function...
 4.3.12: In Exercises 316, identify the open intervals on which the function...
 4.3.13: In Exercises 316, identify the open intervals on which the function...
 4.3.14: In Exercises 316, identify the open intervals on which the function...
 4.3.15: In Exercises 316, identify the open intervals on which the function...
 4.3.16: In Exercises 316, identify the open intervals on which the function...
 4.3.17: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.18: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.19: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.20: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.21: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.22: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.23: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.24: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.25: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.26: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.27: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.28: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.29: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.30: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.31: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.32: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.33: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.34: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.35: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.36: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.37: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.38: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.39: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.40: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.41: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.42: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.43: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.44: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.45: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.46: In Exercises 1746, find the critical numbers of f (if any). Find th...
 4.3.47: In Exercises 4754, consider the function on the interval For each f...
 4.3.48: In Exercises 4754, consider the function on the interval For each f...
 4.3.49: In Exercises 4754, consider the function on the interval For each f...
 4.3.50: In Exercises 4754, consider the function on the interval For each f...
 4.3.51: In Exercises 4754, consider the function on the interval For each f...
 4.3.52: In Exercises 4754, consider the function on the interval For each f...
 4.3.53: In Exercises 4754, consider the function on the interval For each f...
 4.3.54: In Exercises 4754, consider the function on the interval For each f...
 4.3.55: In Exercises 5560, (a) use a computer algebra system to differentia...
 4.3.56: In Exercises 5560, (a) use a computer algebra system to differentia...
 4.3.57: In Exercises 5560, (a) use a computer algebra system to differentia...
 4.3.58: In Exercises 5560, (a) use a computer algebra system to differentia...
 4.3.59: In Exercises 5560, (a) use a computer algebra system to differentia...
 4.3.60: In Exercises 5560, (a) use a computer algebra system to differentia...
 4.3.61: In Exercises 61 and 62, use symmetry, extrema, and zeros to sketch ...
 4.3.62: In Exercises 61 and 62, use symmetry, extrema, and zeros to sketch ...
 4.3.63: Think About It In Exercises 6368, the graph of is shown in the figu...
 4.3.64: Think About It In Exercises 6368, the graph of is shown in the figu...
 4.3.65: Think About It In Exercises 6368, the graph of is shown in the figu...
 4.3.66: Think About It In Exercises 6368, the graph of is shown in the figu...
 4.3.67: Think About It In Exercises 6368, the graph of is shown in the figu...
 4.3.68: Think About It In Exercises 6368, the graph of is shown in the figu...
 4.3.69: In Exercises 6972, use the graph of to (a) identify the interval(s)...
 4.3.70: In Exercises 6972, use the graph of to (a) identify the interval(s)...
 4.3.71: In Exercises 6972, use the graph of to (a) identify the interval(s)...
 4.3.72: In Exercises 6972, use the graph of to (a) identify the interval(s)...
 4.3.73: In Exercises 7378, assume that is differentiable for all The signs ...
 4.3.74: In Exercises 7378, assume that is differentiable for all The signs ...
 4.3.75: In Exercises 7378, assume that is differentiable for all The signs ...
 4.3.76: In Exercises 7378, assume that is differentiable for all The signs ...
 4.3.77: In Exercises 7378, assume that is differentiable for all The signs ...
 4.3.78: In Exercises 7378, assume that is differentiable for all The signs ...
 4.3.79: Sketch the graph of the arbitrary function such that x> 0,undefined...
 4.3.80: A differentiable function has one critical number at Identify the r...
 4.3.81: Think About It The function is differentiable on the interval The t...
 4.3.82: Think About It The function is differentiable on the interval The t...
 4.3.83: Rolling a Ball Bearing A ball bearing is placed on an inclined plan...
 4.3.84: Numerical, Graphical, and Analytic Analysis The concentration of a ...
 4.3.85: Numerical, Graphical, and Analytic Analysis Consider the functions ...
 4.3.86: Numerical, Graphical, and Analytic Analysis Consider the functions ...
 4.3.87: Trachea Contraction Coughing forces the trachea (windpipe) to contr...
 4.3.88: Profit The profit (in dollars) made by a fastfood restaurant selli...
 4.3.89: Modeling Data The endofyear assets for the Medicare Hospital Insu...
 4.3.90: Modeling Data The number of bankruptcies (in thousands) for the yea...
 4.3.91: Motion Along a Line In Exercises 9194, the function describes the m...
 4.3.92: Motion Along a Line In Exercises 9194, the function describes the m...
 4.3.93: Motion Along a Line In Exercises 9194, the function describes the m...
 4.3.94: Motion Along a Line In Exercises 9194, the function describes the m...
 4.3.95: Motion Along a Line In Exercises 95 and 96, the graph shows the pos...
 4.3.96: Motion Along a Line In Exercises 95 and 96, the graph shows the pos...
 4.3.97: Creating Polynomial Functions In Exercises 97100, find a polynomial...
 4.3.98: Creating Polynomial Functions In Exercises 97100, find a polynomial...
 4.3.99: Creating Polynomial Functions In Exercises 97100, find a polynomial...
 4.3.100: Creating Polynomial Functions In Exercises 97100, find a polynomial...
 4.3.101: True or False? In Exercises 101106, determine whether the statement...
 4.3.102: True or False? In Exercises 101106, determine whether the statement...
 4.3.103: True or False? In Exercises 101106, determine whether the statement...
 4.3.104: True or False? In Exercises 101106, determine whether the statement...
 4.3.105: True or False? In Exercises 101106, determine whether the statement...
 4.3.106: True or False? In Exercises 101106, determine whether the statement...
 4.3.107: Prove the second case of Theorem 4.5
 4.3.108: Prove the second case of Theorem 4.6
 4.3.109: Let and be real numbers. Prove that 1 xn > 1 nx.
 4.3.110: Use the definitions of increasing and decreasing functions to prove...
 4.3.111: Use the definitions of increasing and decreasing functions to prove...
Solutions for Chapter 4.3: Increasing and Decreasing Functions and the First Derivative Test
Full solutions for Calculus: Early Transcendental Functions  4th Edition
ISBN: 9780618606245
Solutions for Chapter 4.3: Increasing and Decreasing Functions and the First Derivative Test
Get Full SolutionsChapter 4.3: Increasing and Decreasing Functions and the First Derivative Test includes 111 full stepbystep solutions. Since 111 problems in chapter 4.3: Increasing and Decreasing Functions and the First Derivative Test have been answered, more than 39480 students have viewed full stepbystep solutions from this chapter. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. This expansive textbook survival guide covers the following chapters and their solutions.

Annuity
A sequence of equal periodic payments.

Arcsine function
See Inverse sine function.

Bearing
Measure of the clockwise angle that the line of travel makes with due north

Bias
A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses

Cardioid
A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

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.

Compound interest
Interest that becomes part of the investment

Conversion factor
A ratio equal to 1, used for unit conversion

Difference of two vectors
<u1, u2>  <v1, v2> = <u1  v1, u2  v2> or <u1, u2, u3>  <v1, v2, v3> = <u1  v1, u2  v2, u3  v3>

Graph of a relation
The set of all points in the coordinate plane corresponding to the ordered pairs of the relation.

Head minus tail (HMT) rule
An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2  x 1, y2  y19>

Identity matrix
A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

Infinite sequence
A function whose domain is the set of all natural numbers.

Initial value of a function
ƒ 0.

Residual
The difference y1  (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

Secant
The function y = sec x.

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

System
A set of equations or inequalities.

Venn diagram
A visualization of the relationships among events within a sample space.

Weighted mean
A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.