area of a square with side length x is x^2. Instantaneous rate of change in area if x is 5
We can write the area A as,
A = x^2
where the area, A, is a function of x.
The rate of chabge of A is dA/dx, where
dA/dx = 2x
When x = 5, then dA/dx = 2*5 = 10
Answer: Rate of change of area of square, when side length x = 5, is 10