# Thread: Exponential function!

1. ## Exponential function!

Since January 1, 1960, the population of Slim Chance has been described by the following formula where P(t) is the number of people in the city t years after the start of 1960.
P(t) = 38500(1.02)t

At what rate was the population changing on January 1, 1988

Exact Value:

decimal: to the nearest whole number

ok so i think for the first one you just find the derivative of the function...can i get a little help...thanks

mathlete

2. Originally Posted by mathlete
Since January 1, 1960, the population of Slim Chance has been described by the following formula where P(t) is the number of people in the city t years after the start of 1960.
P(t) = 38500(1.02)t

At what rate was the population changing on January 1, 1988

Exact Value:

decimal: to the nearest whole number

ok so i think for the first one you just find the derivative of the function...can i get a little help...thanks

mathlete
The derivative of $\displaystyle a (b)^t$ is $\displaystyle (a \ln b) (b)^t$.