I have tried and tried and cant get it, help
Hi
f(t) = 5000 e^(u(t)) where u(t) = 0.1 e^(0.25 t)
f'(t) = 5000 u'(t) e^(u(t))
Now we need to calculate u'(t)
u(t) = 0.1 e^(v(t)) where v(t) = 0.25 t
u'(t) = 0.1 v'(t) e^(v(t)) = 0.1 x 0.25 e^(v(t)) = 0.025 e^(0.25 t)
f'(t) = 5000 x 0.025 e^(0.25 t) e^(0.1 e^(0.25 t)) = 125 e^(0.25 t) e^(0.1 e^(0.25 t))