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Numora Calculus Derivative API
x402
Numora Calculus Derivative API is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-13).
Computes the numerical derivative of a mathematical function at a specified point, with support for higher-order derivatives and configurable step size.
Price / call$0.1
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 a 'success' boolean, a 'result' object containing the computed derivative value at the specified point, and a 'computation' string providing a human-readable description of what was calculated (e.g. 'First derivative of sin(x) at x=1.5').
Example use cases
Slope of a curve at a point
“What is the derivative of sin(x) * x^2 at x = 1.5? I need the exact numerical slope of that curve at that point.”
Higher-order derivative for physics simulation
“Calculate the second-order derivative of the function 3*x^4 - x^2 + 7 evaluated at x = 2, so I can use it in my acceleration model.”
Optimization gradient check
“I need to verify the gradient of my objective function f(x) = exp(-x^2) at x = 0.5 — can you compute the first derivative numerically with a step size of 0.0001?”
Technical details
Endpoint
POSThttps://numomo.vercel.app/api/calculus/derivativeWhen to prefer
Choose this endpoint when you need fast, serverless numerical differentiation of an arbitrary mathematical function without setting up a local math library. It is ideal for AI agents that need on-demand calculus computations — especially higher-order derivatives — in pipelines that already support x402 micropayments on Base. Prefer this over symbolic math services when a numerical approximation is sufficient and speed matters.
Side effects
- Invalid or unparseable function expression in 'fn' field returns an error
- Missing required fields 'x' or 'fn' results in a 400-level response
- Very small step size 'h' may cause numerical instability or floating-point errors
- Non-numeric value for 'x' causes computation failure
- Payment not provided or insufficient USDC triggers x402 payment-required response
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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