a study by buzz osbourne developed the following model for t

a study by buzz osbourne developed the following model for the average weight of the catfish in sardis lake at age t to be W(t)=(3-2e^-t)^3. find the rate of change of the average weight at t=1 (leave your answer as an exact value,aka 5e^7 for example).

W(t)=(3-2e^-t)^3 rate of change = dW(t)/dt = 3(3-2e^-t)^2* 2e^-t at t=1 we have dW(t)/dt = 3(3-2e^-1)^2*2e^-1 =>6*e^-2(9+4e^-2-4e^-1) =>54e^-2 + 24e^-4 - 24e^-3