Answer:
[tex]\dfrac{dA}{ds}=20[/tex]
Step-by-step explanation:
Given that,
The area of a square is given by :
A = s² ....(1)
Where
s is the side of the square.
Differentiating (1) wrt s.
[tex]\dfrac{dA}{ds}=\dfrac{d}{ds}(s^2)\\\\\dfrac{dA}{ds}=2s[/tex]
Put s = 10 in the above equation.
[tex]\dfrac{dA}{ds}=2\times 10\\\\=20\ units[/tex]
So, the rate of change of the area of a square is 20 units
