Description
Return derivative after a logarithmic output transform.
Differential-calculus formulas relate supplied local values and derivatives under explicit coordinate and unit conventions. A tangent term, curvature expression or directional derivative assumes the required differentiability and regularity; substituting numerical derivatives does not verify those hypotheses for an actual function.
Return derivative after a logarithmic output transform.
When to use this tool
Use Log Domain Derivative Chain Factor when evaluating the stated local differential-calculus identity from supplied values.
How to use the tool and how it works
- Enter value, derivative, base. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read derivative. Use the output convention below.
Return derivative after a logarithmic output transform. Require value > 0 and base > 0 except one; output derivative = supplied derivative/(value*ln(base)).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| value | Value | Required. Finite number; strictly above 0. |
| derivative | Derivative | Required. Finite number. |
| base | Base | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| derivative | Derivative | Required. Finite number. |
{
"input": {
"value": 2,
"derivative": 4,
"base": 2.718281828459045
},
"output": {
"derivative": 2
}
}Limitations and assumptions
- The derivative must be for that same value/variable; no function or alternative logarithm domain is evaluated.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Differentiate or validate the complete function and its domain first; use suitable symbolic or numerical methods and check regularity and coordinate conventions for the intended interpretation.
References
Similar or alternative tools
- Logarithmic Derivative Residue Term
Return a logarithmic-derivative residue from zero/pole orders.
- Local Logarithmic Second Derivative
Return the local second logarithmic derivative.