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