G(t)=5200/(1+12e^(-.52t))

Question

Find G'(t)

I keeo getting (-32448e^(-.52t))/(1+12e^(-.52t))^2
Is this correct?

Answer 1

write it as:

G(t) = 5200 (1+12e^(-.52t)^-1

G ' (t) = -5200(1+12e^(-.52t) )^-2 (-.52)(12)e^(-.52t)
= + 32448 e^(-.52t) / (1+12e^(-.52t) )^2

I got a positive instead of your negative.