28 Oct 2021
Problem 12b
Page 238
Section 3.8: Rates of Change in the Natural and Social Sciences
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
28 Oct 2021
Given information
Note that given the volume of a cube with respect to its edge length is equal to half the surface area of the cube.
Step-by-step explanation
Step 1.
Know that the surface area of such a cube is equal to the area of one face of the cube 
multiplied by the number of faces on the cube.
Therefore, 
Observe that this surface area equation is double our equation for the rate of change in volume.
Hence, it is verified that the rate of change of the volume of a cube with respect to its edge length is equal to half the surface area of the cube.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 1c
- Problem 1d
- Problem 1e
- Problem 1f
- Problem 1g
- Problem 1h
- Problem 1i
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 2d
- Problem 2e
- Problem 2f
- Problem 2g
- Problem 2h
- Problem 2i
- Problem 3a
- Problem 3b
- Problem 3c
- Problem 3d
- Problem 3e
- Problem 3f
- Problem 3g
- Problem 3i
- Problem 3i
- Problem 4a
- Problem 4b
- Problem 4c
- Problem 4d
- Problem 4e
- Problem 4f
- Problem 4g
- Problem 4h
- Problem 4i
- Problem 5a
- Problem 5b
- Problem 6a
- Problem 6b
- Problem 7a
- Problem 7b
- Problem 8a
- Problem 8b
- Problem 9a
- Problem 9b
- Problem 10a
- Problem 10b
- Problem 11a
- Problem 11b
- Problem 12a
- Problem 12b
- Problem 13a
- Problem 13b
- Problem 13c
- Problem 14a
- Problem 14b
- Problem 14c
- Problem 15a
- Problem 15b
- Problem 15c
- Problem 16a
- Problem 16b
- Problem 16c
- Problem 17a
- Problem 18
- Problem 19
- Problem 19a
- Problem 19b
- Problem 20a
- Problem 20b
- Problem 21a
- Problem 21b
- Problem 21c
- Problem 22a
- Problem 22b
- Problem 22c
- Problem 22d
- Problem 22e
- Problem 23
- Problem 24
- Problem 25a
- Problem 25b
- Problem 25c
- Problem 25d
- Problem 25e
- Problem 26a
- Problem 26b
- Problem 26c
- Problem 26d
- Problem 27a
- Problem 27b
- Problem 27c
- Problem 28a
- Problem 28b
- Problem 29a
- Problem 29b
- Problem 29c
- Problem 30a
- Problem 30b
- Problem 31a
- Problem 31b
- Problem 32a
- Problem 32b
- Problem 33
- Problem 34a
- Problem 34b
- Problem 34c
- Problem 35a
- Problem 35b
- Problem 35c