28 Nov 2021
Problem 11b
Page 238
Section 3.8: Rates of Change in the Natural and Social Sciences
Chapter 3: Differentiation Rules
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28 Nov 2021
Given information
Note that given, a square whose side length is increased by an amount .
Step-by-step explanation
Step 1.
Note that the perimeter of a square is also a function of its side length such that
Therefore, the relation between the rate of change of area and the perimeter can be written as:
Hence, the rate of change of the area is equals to the half of the perimeter.