 4.1.1: In Exercises 1 and 2, decide whether each labeled point is an absol...
 4.1.2: In Exercises 1 and 2, decide whether each labeled point is an absol...
 4.1.3: In Exercises 38, find the value of the derivative (if it exists) at...
 4.1.4: In Exercises 38, find the value of the derivative (if it exists) at...
 4.1.5: In Exercises 38, find the value of the derivative (if it exists) at...
 4.1.6: In Exercises 38, find the value of the derivative (if it exists) at...
 4.1.7: In Exercises 38, find the value of the derivative (if it exists) at...
 4.1.8: In Exercises 38, find the value of the derivative (if it exists) at...
 4.1.9: In Exercises 912, approximate the critical numbers of the function ...
 4.1.10: In Exercises 912, approximate the critical numbers of the function ...
 4.1.11: In Exercises 912, approximate the critical numbers of the function ...
 4.1.12: In Exercises 912, approximate the critical numbers of the function ...
 4.1.13: In Exercises 1320, find any critical numbers of the function. fx x ...
 4.1.14: In Exercises 1320, find any critical numbers of the function.
 4.1.15: In Exercises 1320, find any critical numbers of the function.
 4.1.16: In Exercises 1320, find any critical numbers of the function. fx 4x...
 4.1.17: In Exercises 1320, find any critical numbers of the function.
 4.1.18: In Exercises 1320, find any critical numbers of the function.f 2 se...
 4.1.19: In Exercises 1320, find any critical numbers of the function. fx x ...
 4.1.20: In Exercises 1320, find any critical numbers of the function. gx 4x...
 4.1.21: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.22: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.23: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.24: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.25: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.26: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.27: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.28: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.29: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.30: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.31: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.32: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.33: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.34: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.35: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.36: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.37: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.38: In Exercises 2138, locate the absolute extrema of the function on t...
 4.1.39: In Exercises 39 and 40, locate the absolute extrema of the function...
 4.1.40: In Exercises 39 and 40, locate the absolute extrema of the function...
 4.1.41: In Exercises 4146, use a graphing utility to graph the function. Lo...
 4.1.42: In Exercises 4146, use a graphing utility to graph the function. Lo...
 4.1.43: In Exercises 4146, use a graphing utility to graph the function. Lo...
 4.1.44: In Exercises 4146, use a graphing utility to graph the function. Lo...
 4.1.45: In Exercises 4146, use a graphing utility to graph the function. Lo...
 4.1.46: In Exercises 4146, use a graphing utility to graph the function. Lo...
 4.1.47: In Exercises 4752, (a) use a computer algebra system to graph the f...
 4.1.48: In Exercises 4752, (a) use a computer algebra system to graph the f...
 4.1.49: In Exercises 4752, (a) use a computer algebra system to graph the f...
 4.1.50: In Exercises 4752, (a) use a computer algebra system to graph the f...
 4.1.51: In Exercises 4752, (a) use a computer algebra system to graph the f...
 4.1.52: In Exercises 4752, (a) use a computer algebra system to graph the f...
 4.1.53: In Exercises 5356, use a computer algebra system to find the maximu...
 4.1.54: In Exercises 5356, use a computer algebra system to find the maximu...
 4.1.55: In Exercises 5356, use a computer algebra system to find the maximu...
 4.1.56: In Exercises 5356, use a computer algebra system to find the maximu...
 4.1.57: In Exercises 57 and 58, use a computer algebra system to find the m...
 4.1.58: In Exercises 57 and 58, use a computer algebra system to find the m...
 4.1.59: Explain why the function has a maximum on but not on 0, .
 4.1.60: Writing Write a short paragraph explaining why a continuous functio...
 4.1.61: In Exercises 61 and 62, graph a function on the interval having the...
 4.1.62: In Exercises 61 and 62, graph a function on the interval having the...
 4.1.63: Relative minimum at Critical number at but no extrema Absolute maxi...
 4.1.64: In Exercises 6366, determine from the graph whetherhas a minimum in...
 4.1.65: In Exercises 6366, determine from the graph whetherhas a minimum in...
 4.1.66: In Exercises 6366, determine from the graph whetherhas a minimum in...
 4.1.67: Lawn Sprinkler A lawn sprinkler is constructed in such a way that i...
 4.1.68: Honeycomb The surface area of a cell in a honeycomb is where and ar...
 4.1.69: True or False? In Exercises 6972, determine whether the statement i...
 4.1.70: True or False? In Exercises 6972, determine whether the statement i...
 4.1.71: True or False? In Exercises 6972, determine whether the statement i...
 4.1.72: True or False? In Exercises 6972, determine whether the statement i...
 4.1.73: Let the function be differentiable on an interval containing If has...
 4.1.74: Consider the cubic function where Show that can have zero, one, or ...
 4.1.75: Highway Design In order to build a highway, it is necessary to fill...
Solutions for Chapter 4.1: Extrema on an Interval
Full solutions for Calculus: Early Transcendental Functions  4th Edition
ISBN: 9780618606245
Solutions for Chapter 4.1: Extrema on an Interval
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Chapter 4.1: Extrema on an Interval includes 75 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. Since 75 problems in chapter 4.1: Extrema on an Interval have been answered, more than 41563 students have viewed full stepbystep solutions from this chapter.

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

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

Exponential decay function
Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

Inverse variation
See Power function.

Leading term
See Polynomial function in x.

Leaf
The final digit of a number in a stemplot.

Line of symmetry
A line over which a graph is the mirror image of itself

Linear function
A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

Linear programming problem
A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

Matrix, m x n
A rectangular array of m rows and n columns of real numbers

Midpoint (in a coordinate plane)
For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

Modulus
See Absolute value of a complex number.

Probability simulation
A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

Rational function
Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

Stemplot (or stemandleaf plot)
An arrangement of a numerical data set into a specific tabular format.

Unbounded interval
An interval that extends to ? or ? (or both).

Vertex form for a quadratic function
ƒ(x) = a(x  h)2 + k

Vertical line test
A test for determining whether a graph is a function.

Work
The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

yaxis
Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.