Asquare with side x is changing with time where x(t)=3t+1. what is rate of change of the area of the square when t=2 seconds.

Rate of change of the area of the square is 42 units at t = 2.

Step-by-step explanation:

We note that the area of the square is given by: but we aim to find . But we can use the chain rule to pull out that dA/dt. Doing so gives us:

Now, (by the power rule and

But since we have "x" and not "t", we want to find what x is when t = 2. Substituting t = 2 gives us x(2) = 3(2) + 1 = 7.

So, finally, we see that:

f

step-by-step explanation:

f

because they could drop even lower..