I want the 1st, 2nd and 3rd derivatives of the following seven parameter double sigmoid function
Y = a + b /(1 + exp(-c(X-d))) – e/(1 + exp(-f(X-g)))
a,b,c,d,e,f,g are the equation parameters.
I can go as far as the 1st derivative:
If z = (1 + exp(-c(X-d))) and h = (1 + exp(-f(X-g)))
dY/dX = b(-c z)/(1+z)^2 – e(-f h)^2
I am not even sure if this is the correct 1st derivative of the above equation.
I also need some hand for 2nd and 3rd derivative. Very long time since the last maths class.
Cheers,
Y = a + b /(1 + exp(-c(X-d))) – e/(1 + exp(-f(X-g)))
a,b,c,d,e,f,g are the equation parameters.
I can go as far as the 1st derivative:
If z = (1 + exp(-c(X-d))) and h = (1 + exp(-f(X-g)))
dY/dX = b(-c z)/(1+z)^2 – e(-f h)^2
I am not even sure if this is the correct 1st derivative of the above equation.
I also need some hand for 2nd and 3rd derivative. Very long time since the last maths class.
Cheers,