Yes, because we have the number ‘e’ raised to x, although it is now -3x, it is still a variation of x
Answer:
![\dfrac{dA}{ds}=20](https://tex.z-dn.net/?f=%5Cdfrac%7BdA%7D%7Bds%7D%3D20)
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.
![\dfrac{dA}{ds}=\dfrac{d}{ds}(s^2)\\\\\dfrac{dA}{ds}=2s](https://tex.z-dn.net/?f=%5Cdfrac%7BdA%7D%7Bds%7D%3D%5Cdfrac%7Bd%7D%7Bds%7D%28s%5E2%29%5C%5C%5C%5C%5Cdfrac%7BdA%7D%7Bds%7D%3D2s)
Put s = 10 in the above equation.
![\dfrac{dA}{ds}=2\times 10\\\\=20\ units](https://tex.z-dn.net/?f=%5Cdfrac%7BdA%7D%7Bds%7D%3D2%5Ctimes%2010%5C%5C%5C%5C%3D20%5C%20units)
So, the rate of change of the area of a square is 20 units
25 is the squared number
_/25 = 5