 4.4.1: Determining Concavity In Exercises 112, determine the open interval...
 4.4.2: Determining Concavity In Exercises 112, determine the open interval...
 4.4.3: Determining Concavity In Exercises 112, determine the open interval...
 4.4.4: Determining Concavity In Exercises 112, determine the open interval...
 4.4.5: Determining Concavity In Exercises 112, determine the open interval...
 4.4.6: Determining Concavity In Exercises 112, determine the open interval...
 4.4.7: Determining Concavity In Exercises 112, determine the open interval...
 4.4.8: Determining Concavity In Exercises 112, determine the open interval...
 4.4.9: Determining Concavity In Exercises 112, determine the open interval...
 4.4.10: Determining Concavity In Exercises 112, determine the open interval...
 4.4.11: Determining Concavity In Exercises 112, determine the open interval...
 4.4.12: Determining Concavity In Exercises 112, determine the open interval...
 4.4.13: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.14: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.15: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.16: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.17: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.18: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.19: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.20: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.21: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.22: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.23: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.24: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.25: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.26: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.27: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.28: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.29: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.30: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.31: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.32: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.33: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.34: Finding Points of Inflection In Exercises 1334, find the points of ...
 4.4.35: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.36: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.37: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.38: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.39: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.40: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.41: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.42: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.43: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.44: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.45: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.46: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.47: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.48: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.49: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.50: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.51: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.52: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.53: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.54: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.55: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.56: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.57: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.58: Using the Second Derivative Test In Exercises 3558, find all relati...
 4.4.59: Finding Extrema and Points of Inflection Using Technology In Exerci...
 4.4.60: Finding Extrema and Points of Inflection Using Technology In Exerci...
 4.4.61: Finding Extrema and Points of Inflection Using Technology In Exerci...
 4.4.62: Finding Extrema and Points of Inflection Using Technology In Exerci...
 4.4.63: Sketching a Graph Consider a function such that is increasing. Sket...
 4.4.64: Sketching a Graph Consider a function such that is decreasing. Sket...
 4.4.65: Sketching a Graph Sketch the graph of a function that does not have...
 4.4.66: Think About It represents weekly sales of a product. What can be sa...
 4.4.67: Sketching Graphs In parts (a) and (b), the graph of is shown. Graph...
 4.4.68: HOW DO YOU SEE IT? Using the graph of state the signs of and on the...
 4.4.69: Think About It In Exercises 6972, sketch the graph of a function ha...
 4.4.70: Think About It In Exercises 6972, sketch the graph of a function ha...
 4.4.71: Think About It In Exercises 6972, sketch the graph of a function ha...
 4.4.72: Think About It In Exercises 6972, sketch the graph of a function ha...
 4.4.73: Think About It The figure shows the graph of Sketch a graph of (The...
 4.4.74: Think About It Water is running into the vase shown in the figure a...
 4.4.75: Conjecture Consider the function (a) Use a graphing utility to grap...
 4.4.76: Inflection Point Consider the function (a) Graph the function and i...
 4.4.77: Relative maximum: Relative minimum: Inflection point:
 4.4.78: Relative maximum: Relative minimum: Inflection point:
 4.4.79: Aircraft Glide Path A small aircraft starts its descent from an alt...
 4.4.80: Highway Design A section of highway connecting two hillsides with g...
 4.4.81: Average Cost A manufacturer has determined that the total cost of o...
 4.4.82: Specific Gravity A model for the specific gravity of water is where...
 4.4.83: Sales Growth The annual sales of a new product are given by where i...
 4.4.84: Modeling Data The average typing speed (in words per minute) of a t...
 4.4.85: Linear and Quadratic Approximations In Exercises 8588, use a graphi...
 4.4.86: Linear and Quadratic Approximations In Exercises 8588, use a graphi...
 4.4.87: Linear and Quadratic Approximations In Exercises 8588, use a graphi...
 4.4.88: Linear and Quadratic Approximations In Exercises 8588, use a graphi...
 4.4.89: Determining Concavity Use a graphing utility to graph Show that the...
 4.4.90: Point of Inflection and Extrema Show that the point of inflection o...
 4.4.91: The graph of every cubic polynomial has precisely one point of infl...
 4.4.92: The graph of is concave downward for and concave upward for and thu...
 4.4.93: If then is concave upward at
 4.4.94: If then the graph of must have a point of inflection at
 4.4.95: Show that if and are concave upward on the interval then is also co...
 4.4.96: Prove that if and are positive, increasing, and concave upward on t...
Solutions for Chapter 4.4: Concavity and the Second Derivative Test
Full solutions for Calculus: Early Transcendental Functions  6th Edition
ISBN: 9781285774770
Solutions for Chapter 4.4: Concavity and the Second Derivative Test
Get Full SolutionsSince 96 problems in chapter 4.4: Concavity and the Second Derivative Test have been answered, more than 43285 students have viewed full stepbystep solutions from this chapter. Chapter 4.4: Concavity and the Second Derivative Test includes 96 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Calculus: 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.

Additive identity for the complex numbers
0 + 0i is the complex number zero

Binomial theorem
A theorem that gives an expansion formula for (a + b)n

Central angle
An angle whose vertex is the center of a circle

Complex plane
A coordinate plane used to represent the complex numbers. The xaxis of the complex plane is called the real axis and the yaxis is the imaginary axis

Compound interest
Interest that becomes part of the investment

Constant term
See Polynomial function

Direction of an arrow
The angle the arrow makes with the positive xaxis

Domain of a function
The set of all input values for a function

Doubleangle identity
An identity involving a trigonometric function of 2u

Horizontal translation
A shift of a graph to the left or right.

Leaf
The final digit of a number in a stemplot.

Quadrantal angle
An angle in standard position whose terminal side lies on an axis.

Quadratic function
A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

Quotient rule of logarithms
logb a R S b = logb R  logb S, R > 0, S > 0

Range (in statistics)
The difference between the greatest and least values in a data set.

Real axis
See Complex plane.

Row echelon form
A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

Sum of an infinite geometric series
Sn = a 1  r , r 6 1

Vertices of an ellipse
The points where the ellipse intersects its focal axis.

Xmin
The xvalue of the left side of the viewing window,.