Question

sale in thousands of a new type of product are given by s(t)=170-80e^(-.7*t) where t represents time in years. find the rate of change of sales at the time when t =2

Answer 1

we are given

`s(t)=170-80e^(-0.7t)`

Firstly , we can find derivative

`s'(t)=0-80*-0.70e^(-0.7t)`

now, we can simplify it

`s'(t)=56e^(-0.7t)`

now, we can plug t=2

`s'(2)=56e^(-0.7*2)`

`s'(2)=13.80943`..............Answer