ദ്ദി •⩊• )

inflection point of standard logistic-derivative form

1 min read

Properties1
statusopen

Given 𝑓(𝑥)=151+14𝑒−0.3𝑥, maximize the growth 𝑓′(𝑥).

With some labor and algebra, the inflection (mirror) of this graph is when 14𝑒−0.3𝑥=1, or more generally, for 𝑓(𝑥)=1𝑐+𝑑𝑒−𝑘𝑥 the inflection is at 𝑑𝑒−𝑘𝑥=𝑐. This is where the derivative is maximized.

Isn’t this the sigmoid function (parameterized)?

Recent Notes

See 118 more →

Graph View