Search Ctrl K
Home / Tools
THE FEUTEX TOOLKIT

Gompertz Growth Trajectory

Evaluate a Gompertz growth curve, its instantaneous growth and its inflection time.

Math workspace● Runs in your browser
01 Your input
02 Your result
View or copy raw result data
FormulaQuantity = k*exp(-b*exp(-r*t)); Growth Rate = k*b*r*exp(-r*t-b*exp(-r*t)); Inflection Time = log(b)/r
Sources and model references

Worked example

Inputs

Upper asymptote
1000 quantity
Displacement
2 number
Rate
0.1 1/time
Time
10 time

Expected results

Quantity
479.1417088 quantity
Growth Rate
35.25327681 quantity/time
Inflection Time
6.931471806 time

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter the labeled inputs using consistent units.
  2. Check the stated assumptions and calculate.
  3. Review each output and compare another input scenario.

Try this example

{
  "k": 1000,
  "b": 2,
  "r": 0.1,
  "t": 10
}

Accuracy and scope

Parametric model only; an inflection time below zero predates the chosen origin. Finite floating-point arithmetic; results can lose precision near singular or extreme inputs.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.