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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

Respuesta :

we are given

[tex] s(t)=170-80e^{-0.7t} [/tex]

Firstly , we can find derivative

[tex] s'(t)=0-80*-0.70e^{-0.7t} [/tex]

now, we can simplify it

[tex] s'(t)=56e^{-0.7t} [/tex]

now, we can plug t=2

[tex] s'(2)=56e^{-0.7*2} [/tex]

[tex] s'(2)=13.80943 [/tex]..............Answer

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