Sigmoid Calculator
Calculate sigmoid activation function outputs and derivatives.
Sigmoid Function
f(x) = 1 / (1 + e^(-x))
f'(x) = f(x) * (1 - f(x))
Properties
- - Output range: (0, 1)
- - f(0) = 0.5
- - Monotonically increasing
- - Derivative max at x = 0 (0.25)
Sigmoid(0)
0.500000
50.00% probability interpretation
Derivative
0.250000
Log Odds
0.000000
Batch Results
x = -2f(x) = 0.1192f'(x) = 0.1050
x = -1f(x) = 0.2689f'(x) = 0.1966
x = 0f(x) = 0.5000f'(x) = 0.2500
x = 1f(x) = 0.7311f'(x) = 0.1966
x = 2f(x) = 0.8808f'(x) = 0.1050