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Numora Calculus Derivative Endpoint
x402
Numora Calculus Derivative Endpoint is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).
Numerically computes the derivative of a mathematical function at a specified point, supporting higher-order derivatives.
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 boolean 'success' field, a 'result' object containing the computed derivative value at the given point, and a 'computation' string that describes in human-readable form what was calculated (e.g. 'Second derivative of x^3 at x=2').
Example use cases
Optimization gradient computation
“I need the derivative of f(x) = x^4 - 5*x^2 + 4 evaluated at x = 1.5 so I can find out the gradient direction for my optimization step.”
Physics rate-of-change check
“What is the instantaneous rate of change — so the first derivative — of position(x) = 3*x^2 + 2*x - 7 at time x = 4 seconds?”
Higher-order curvature analysis
“Calculate the third derivative of sin(x) at x = pi/6 with h set to 0.0001 — I'm checking the curvature behavior of the function.”
Technical details
Endpoint
POSThttps://numormo.vercel.app/api/calculus/derivativeWhen to prefer
Choose this endpoint when you need a fast, self-contained numerical derivative without setting up a symbolic math library or CAS (computer algebra system). Ideal for AI agents doing optimization, physics simulations, or engineering calculations where approximate numerical differentiation is sufficient. Prefer over symbolic solvers when the function is given as a string expression and exact symbolic output is not required.
Side effects
- Invalid or unparseable function expression returns an error
- Division by zero or singularity at the evaluation point may produce NaN or Inf
- Missing required fields 'x' or 'fn' results in a 400-level error
- Extremely small or zero step size h may cause numerical instability
- Very high derivative order may accumulate floating-point errors
- Payment failure via x402 prevents endpoint access
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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