P = 10.186(0.997)^t
Where P is in millions and t is in years since 2000.
How fast (in people/year) does this model predict Hungary's population will be decreasing in 2020?

I know I am going to want to find the derivative at t=20 but I am not sure how to setup the equation. Help?

Question

P = 10.186(0.997)^t
Where P is in millions and t is in years since 2000.
How fast (in people/year) does this model predict Hungary's population will be decreasing in 2020?

I know I am going to want to find the derivative at t=20 but I am not sure how to setup the equation. Help?

anonymous · Answer

Sorry, should look like this:
$$P = 10.186(0.997)^{t}$$

anonymous · Answer

Does this look right? :
$$\frac{10.186(0.997)^{(20 + h)} - 10.186(0.997)^{20} }{ h }$$