+595 
What is the point of maximum growth rate for the logistic function f(x)? Round to the nearest hundredth.
(0.42, 3)
(0.85, 12)
(0.85, 24)
(0, 4)
+129852 Write this as
y = 24 [1 + 3e^(-1.3x)]^(-1)
The derivative of this function is
y ' = -24[ 1 + 3e^(-1.3x)]^(-2) ( -3.9e^(-1.3x))
Looking at the graph of the derivative here :
https://www.desmos.com/calculator/sunmexdhiz
We see that the max growth rate occurs at about x = .845
The graph of the function here :
https://www.desmos.com/calculator/pkls30n5mn
Shows that the y value associated with this x value = 12
So....the max growth rate occurs at ≈ (.85, 12 )
