1. The problem statement, all variables and given/known data
-5.978(1+5.71e^-.054x)/1+5.71e^-.054x
logistical regression values from ti 83
a=5.71
b=.054
c=5.978
2. Relevant equations
general logistical regresion model g(x) c/1+ae^-bx
3. The attempt at a solution
So far I have applied the quotient rule to find the derivative of the general logistical model and come out to
(1+ae^-bx)-c(1+ae^-bx)/(1+ae^-bx)^2
I took derivate and factored a little and came to this
-c(1+ae^-bx)/1+ae^-bx
At this point I just factored in the logistical information from my ti 83 which is
a=5.71
b=.054
c= 5.978
I really need help factoring the numerator of this problem, and from there finding the 2nd derivative. I know at some point I must take natural log to both side of the equation to find the point of inflection. Please help me with this!