Derive formulas for the first and second derivatives of the

Question

Question: (a) Derive formulas for the first and second derivatives of the logistic function:

y = L/(1 + Ae^-kt)

for L, A, and k positive constants.

(b) Derive a formula for the t value of any inflection point(s).

(c) Use the second derivative to determine the concavity on either side of any inflection points.