Still unsure of how to find the inflection points with an e^x problem...
Take this problem:
f(t) = 1 - e^-0.03t
f'(t) = -e^-.03t + (-.03t)
f'(t) = -0.03te^-0.03t
It seems logical that if t=0 then f'(t) =0, but is there a way to solve it without guessing?
f"(t) = -.03t(e^-.03t)(-.03)
f"(t) = .0009te^-.03t
In other words, can you set .0009t = e^-.03t and solve? or do you just pick some points near 0 and plot?