 4.3.1: Using a Graph In Exercises 1 and 2, use the graph of to find (a) th...
 4.3.2: Using a Graph In Exercises 1 and 2, use the graph of to find (a) th...
 4.3.3: Using a Graph In Exercises 38, use the graph to estimate the open i...
 4.3.4: Using a Graph In Exercises 38, use the graph to estimate the open i...
 4.3.5: Using a Graph In Exercises 38, use the graph to estimate the open i...
 4.3.6: Using a Graph In Exercises 38, use the graph to estimate the open i...
 4.3.7: Using a Graph In Exercises 38, use the graph to estimate the open i...
 4.3.8: Using a Graph In Exercises 38, use the graph to estimate the open i...
 4.3.9: Intervals on Which Is Increasing or Decreasing In Exercises 920, id...
 4.3.10: Intervals on Which Is Increasing or Decreasing In Exercises 920, id...
 4.3.11: Intervals on Which Is Increasing or Decreasing In Exercises 920, id...
 4.3.12: Intervals on Which Is Increasing or Decreasing In Exercises 920, id...
 4.3.13: Intervals on Which Is Increasing or Decreasing In Exercises 920, id...
 4.3.14: Intervals on Which Is Increasing or Decreasing In Exercises 920, id...
 4.3.15: Intervals on Which Is Increasing or Decreasing In Exercises 920, id...
 4.3.16: Intervals on Which Is Increasing or Decreasing In Exercises 920, id...
 4.3.17: Intervals on Which Is Increasing or Decreasing In Exercises 920, id...
 4.3.18: Intervals on Which Is Increasing or Decreasing In Exercises 920, id...
 4.3.19: Intervals on Which Is Increasing or Decreasing In Exercises 920, id...
 4.3.20: Intervals on Which Is Increasing or Decreasing In Exercises 920, id...
 4.3.21: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.22: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.23: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.24: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.25: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.26: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.27: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.28: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.29: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.30: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.31: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.32: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.33: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.34: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.35: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.36: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.37: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.38: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.39: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.40: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.41: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.42: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.43: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.44: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.45: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.46: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.47: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.48: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.49: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.50: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.51: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.52: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.53: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.54: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.55: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.56: Applying the First Derivative Test In Exercises 2156, (a) find the ...
 4.3.57: Applying the First Derivative Test In Exercises 5764, consider the ...
 4.3.58: Applying the First Derivative Test In Exercises 5764, consider the ...
 4.3.59: Applying the First Derivative Test In Exercises 5764, consider the ...
 4.3.60: Applying the First Derivative Test In Exercises 5764, consider the ...
 4.3.61: Applying the First Derivative Test In Exercises 5764, consider the ...
 4.3.62: Applying the First Derivative Test In Exercises 5764, consider the ...
 4.3.63: Applying the First Derivative Test In Exercises 5764, consider the ...
 4.3.64: Applying the First Derivative Test In Exercises 5764, consider the ...
 4.3.65: Finding and Analyzing Derivatives Using Technology In Exercises 657...
 4.3.66: Finding and Analyzing Derivatives Using Technology In Exercises 657...
 4.3.67: Finding and Analyzing Derivatives Using Technology In Exercises 657...
 4.3.68: Finding and Analyzing Derivatives Using Technology In Exercises 657...
 4.3.69: Finding and Analyzing Derivatives Using Technology In Exercises 657...
 4.3.70: Finding and Analyzing Derivatives Using Technology In Exercises 657...
 4.3.71: Finding and Analyzing Derivatives Using Technology In Exercises 657...
 4.3.72: Finding and Analyzing Derivatives Using Technology In Exercises 657...
 4.3.73: Comparing Functions In Exercises 73 and 74, use symmetry, extrema, ...
 4.3.74: Comparing Functions In Exercises 73 and 74, use symmetry, extrema, ...
 4.3.75: Think About It In Exercises 7580, the graph of is shown in the figu...
 4.3.76: Think About It In Exercises 7580, the graph of is shown in the figu...
 4.3.77: Think About It In Exercises 7580, the graph of is shown in the figu...
 4.3.78: Think About It In Exercises 7580, the graph of is shown in the figu...
 4.3.79: Think About It In Exercises 7580, the graph of is shown in the figu...
 4.3.80: Think About It In Exercises 7580, the graph of is shown in the figu...
 4.3.81: Transformations of Functions In Exercises 8186, assume that is diff...
 4.3.82: Transformations of Functions In Exercises 8186, assume that is diff...
 4.3.83: Transformations of Functions In Exercises 8186, assume that is diff...
 4.3.84: Transformations of Functions In Exercises 8186, assume that is diff...
 4.3.85: Transformations of Functions In Exercises 8186, assume that is diff...
 4.3.86: Transformations of Functions In Exercises 8186, assume that is diff...
 4.3.87: Think About It Consider a function that is continuous and different...
 4.3.88: Think About It Is it possible to find a differentiable function whe...
 4.3.89: Sketching a Graph Sketch the graph of the arbitrary function such that
 4.3.90: HOW DO YOU SEE IT? Use the graph of to (a) identify the critical nu...
 4.3.91: Analyzing a Critical Number A differentiable function has one criti...
 4.3.92: Analyzing a Critical Number A differentiable function has one criti...
 4.3.93: Think About It In Exercises 93 and 94, the function is differentiab...
 4.3.94: Think About It In Exercises 93 and 94, the function is differentiab...
 4.3.95: Rolling a Ball Bearing A ball bearing is placed on an inclined plan...
 4.3.96: Modeling Data The endofyear assets of the Medicare Hospital Insur...
 4.3.97: Numerical, Graphical, and Analytic Analysis The concentration of a ...
 4.3.98: Numerical, Graphical, and Analytic Analysis Consider the functions ...
 4.3.99: Trachea Contraction Coughing forces the trachea (windpipe) to contr...
 4.3.100: Electrical Resistance The resistance of a certain type of resistor ...
 4.3.101: Motion Along a Line In Exercises 101104, the function describes the...
 4.3.102: Motion Along a Line In Exercises 101104, the function describes the...
 4.3.103: Motion Along a Line In Exercises 101104, the function describes the...
 4.3.104: Motion Along a Line In Exercises 101104, the function describes the...
 4.3.105: Motion Along a Line In Exercises 105 and 106, the graph shows the p...
 4.3.106: Motion Along a Line In Exercises 105 and 106, the graph shows the p...
 4.3.107: Relative minimum: Relative maximum:
 4.3.108: Relative minimum: Relative maximum:
 4.3.109: Relative minima: Relative maximum:
 4.3.110: Relative minimum: Relative maxima:
 4.3.111: True or False? In Exercises 111116, determine whether the statement...
 4.3.112: True or False? In Exercises 111116, determine whether the statement...
 4.3.113: True or False? In Exercises 111116, determine whether the statement...
 4.3.114: True or False? In Exercises 111116, determine whether the statement...
 4.3.115: True or False? In Exercises 111116, determine whether the statement...
 4.3.116: True or False? In Exercises 111116, determine whether the statement...
 4.3.117: Proof Prove the second case of Theorem 4.5.
 4.3.118: Proof Prove the second case of Theorem 4.6.
 4.3.119: Proof Let and be real numbers. Prove that
 4.3.120: Proof Use the definitions of increasing and decreasing functions to...
 4.3.121: Proof Use the definitions of increasing and decreasing functions to...
 4.3.122: Finding Values Consider Find and such that the relative maximum of ...
 4.3.123: Find the minimum value of for real numbers
Solutions for Chapter 4.3: Increasing and Decreasing Functions and the First DerivativeTest
Full solutions for Calculus: Early Transcendental Functions  6th Edition
ISBN: 9781285774770
Solutions for Chapter 4.3: Increasing and Decreasing Functions and the First DerivativeTest
Get Full SolutionsCalculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4.3: Increasing and Decreasing Functions and the First DerivativeTest includes 123 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Since 123 problems in chapter 4.3: Increasing and Decreasing Functions and the First DerivativeTest have been answered, more than 45544 students have viewed full stepbystep solutions from this chapter.

Boxplot (or boxandwhisker plot)
A graph that displays a fivenumber summary

Census
An observational study that gathers data from an entire population

Directed line segment
See Arrow.

Equivalent systems of equations
Systems of equations that have the same solution.

Explanatory variable
A variable that affects a response variable.

Logarithmic form
An equation written with logarithms instead of exponents

Lower bound for real zeros
A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

Minute
Angle measure equal to 1/60 of a degree.

Order of an m x n matrix
The order of an m x n matrix is m x n.

Powerreducing identity
A trigonometric identity that reduces the power to which the trigonometric functions are raised.

Semiperimeter of a triangle
Onehalf of the sum of the lengths of the sides of a triangle.

Sinusoidal regression
A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

Standard position (angle)
An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive xaxis

Symmetric difference quotient of ƒ at a
ƒ(x + h)  ƒ(x  h) 2h

Triangular number
A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

Unit vector
Vector of length 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.

Vertex of an angle
See Angle.

Vertical line
x = a.

Vertical translation
A shift of a graph up or down.