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Suppose the box in Example 8 is to have a top as well. Determine its dimensions.

$$x=y=z=\sqrt[3]{4}$$

Calculus 3

Chapter 6

An Introduction to Functions of Several Variables

Section 3

Extrema

Partial Derivatives

Johns Hopkins University

Oregon State University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

12:15

In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

04:14

01:08

If an open box is made fro…

If an open box is made f…

02:35

05:00

point) An open box is to b…

06:10

You are planning to make a…

03:13

Minimizing the Surface Are…

01:52

Dimensions of a Box A box …

01:02

By cutting away identica…

By cutting away identical …

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