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Numora Calculus Extrema Finder
x402
Numora Calculus Extrema Finder 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).
Finds local and global minima and maxima (extrema) of a mathematical function over a specified interval
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 success flag, a human-readable computation description, and a result object containing identified extrema points — including x-coordinates, function values at those points, and classification of each point as a local minimum, local maximum, or global extremum within the specified bounds.
Example use cases
Optimize a profit function
“I have a profit function P(x) = -2x^2 + 40x - 100 where x is units sold. Find the maximum profit over the range x = 0 to 25.”
Find turning points of a polynomial
“Can you find all the local minima and maxima of x^4 - 8x^2 + 3 between x = -4 and x = 4?”
Locate minimum of a physics energy function
“Find the minimum value of the potential energy function E(x) = cos(x) + 0.5x^2 over the interval [-3, 3].”
Technical details
Endpoint
POSThttps://numormo.vercel.app/api/calculus/extremaWhen to prefer
Choose this endpoint when you need pure mathematical extrema computation with no external dependencies — ideal for AI agents performing calculus-based optimization, analyzing mathematical models, or finding critical points of symbolic/algebraic functions expressed as strings. Prefer this over numerical optimization libraries when you want a hosted, pay-per-use microservice with x402 micropayment support on Base. Not suitable for data-driven optimization or machine learning model tuning.
Side effects
- Invalid or unparseable function expression — returns error indicating syntax issue
- Bounds array missing or malformed — validation error on required fields
- Function is not differentiable or has discontinuities in the interval — may return empty or partial results
- Interval too large or function too complex — may timeout or return imprecise results
- Division by zero or undefined values within bounds — computation error returned
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| fnrequired | string | |
| boundsrequired | array | [lower, upper] |
| method | string |
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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