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Numora Calculus Derivative Endpoint
x402
Numora Calculus Derivative Endpoint is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.04/call, status unknown (last checked 2026-09-15).
Computes the numerical derivative (first or higher order) of a mathematical function at a given point
Price / call$0.04
Success—
StatusUnknown
How this service works
100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.
Output
Returns a JSON object with success=true, a result object containing the computed derivative value at the specified point, and a human-readable computation field describing what was calculated (e.g. 'Second derivative of x^3 + 2*sin(x) at x=1.5').
Example use cases
Example prompt
“Use Numora to compute the second derivative of f(x) = x^3 + 2*sin(x) evaluated at x = 1.5, with a step size of 0.001.”
Technical details
Endpoint
POSThttps://numorapoi.orbonomy.xyz/api/calculus/derivativeWhen to prefer
Choose this endpoint when you need a fast, self-contained numerical derivative of a mathematical function without setting up a computer algebra system or scientific computing environment. Ideal for AI agents needing calculus results on-demand with micropayment billing and no external library dependencies.
Side effects
- Invalid or unparseable function expression returns error
- Missing required fields x or fn returns 400-class error
- Non-numeric x value causes computation failure
- Extremely small h (step size) may cause floating-point instability
- Division by zero or undefined function at x causes error
- Payment not provided or insufficient USDC balance triggers 402 Payment Required
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| h | number | |
| xrequired | number | |
| fnrequired | string | |
| order | integer |
Output
Schema · Response
| Field | Type | Description |
|---|---|---|
| resultrequired | object | Computation result varies by endpoint |
| successrequired | boolean | Always true on success |
| computationrequired | string | Human-readable description of what was computed |
Tags
x402
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