Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
8th Edition
ISBN: 9781305279148
Author: Stewart, James, St. Andre, Richard
Publisher: Cengage Learning
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Concept explainers

Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
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Chapter 3.1, Problem 1PT
To determine

To choose: The appropriate option for f′(x) when f(x)=6x4.

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Chapter 3 Solutions

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Ch. 3.1 - Prob. 1PTCh. 3.1 - Prob. 2PTCh. 3.1 - Prob. 3PTCh. 3.1 - Prob. 4PTCh. 3.1 - Prob. 5PTCh. 3.1 - Prob. 6PTCh. 3.2 - Prob. 1PTCh. 3.2 - Prob. 2PTCh. 3.2 - Prob. 3PTCh. 3.2 - Prob. 4PT
Ch. 3.3 - Prob. 1PTCh. 3.3 - Prob. 2PTCh. 3.3 - Prob. 3PTCh. 3.3 - Prob. 4PTCh. 3.3 - Prob. 5PTCh. 3.3 - Prob. 6PTCh. 3.4 - Prob. 1PTCh. 3.4 - Prob. 2PTCh. 3.4 - Prob. 3PTCh. 3.4 - Prob. 4PTCh. 3.4 - Prob. 5PTCh. 3.4 - Prob. 6PTCh. 3.4 - Prob. 7PTCh. 3.5 - Prob. 1PTCh. 3.5 - Prob. 2PTCh. 3.5 - Prob. 3PTCh. 3.5 - Prob. 4PTCh. 3.5 - Prob. 5PTCh. 3.5 - Prob. 6PTCh. 3.6 - Prob. 1PTCh. 3.6 - Prob. 2PTCh. 3.6 - Prob. 3PTCh. 3.6 - Prob. 4PTCh. 3.6 - Prob. 5PTCh. 3.7 - Prob. 1PTCh. 3.7 - Prob. 2PTCh. 3.7 - Prob. 3PTCh. 3.7 - Prob. 4PTCh. 3.8 - Prob. 1PTCh. 3.8 - A bacteria culture starts with 50 organisms and...Ch. 3.8 - Prob. 3PTCh. 3.9 - A right triangle has one leg with constant length...Ch. 3.9 - Prob. 2PTCh. 3.10 - Prob. 1PTCh. 3.10 - Prob. 2PTCh. 3.10 - Prob. 3PTCh. 3.10 - Prob. 4PTCh. 3.11 - Prob. 1PTCh. 3.11 - Prob. 2PTCh. 3.11 - Prob. 3PTCh. 3.11 - Prob. 4PTCh. 3.11 - Prob. 5PT
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Finding Local Maxima and Minima by Differentiation; Author: Professor Dave Explains;https://www.youtube.com/watch?v=pvLj1s7SOtk;License: Standard YouTube License, CC-BY