# Numora Calculus Extrema Finder

> Numora Calculus Extrema Finder is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-15).

Finds local and global minima and maxima (extrema) of a mathematical function over a specified interval

## Facts

- Endpoint: POST https://numomo.vercel.app/api/calculus/extrema
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-calculus-extrema-finder-feca3449
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_nLGrRibMANguyz8eHG9a_

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-calculus-extrema-finder-feca3449 -d '<json body>'
```

Example prompt: Find all the minima and maxima of f(x) = x^3 - 6x^2 + 9x + 1 on the interval [0, 5] — I need to know where the function peaks and dips.

## When to prefer this

Choose this endpoint when you need pure server-side numerical computation of function extrema without any external library dependencies — ideal for AI agents performing mathematical analysis, optimization tasks, or calculus homework assistance. Prefer this over general-purpose code execution when you want a clean, deterministic JSON result for a known function expression and bounded interval, and when micropayment-per-call pricing is acceptable.

## Known failure modes

- Invalid or unparseable function expression returns an error
- Bounds array missing or malformed (e.g. not exactly two numbers) causes a 400-style failure
- Function has no extrema in the given interval (e.g. monotonically increasing) may return empty extrema list
- Discontinuous or undefined functions within bounds may produce unexpected results
- Very large or very small bounds may cause numerical precision issues

## 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 status, a human-readable computation description, and a result object containing identified extrema points — including their x-coordinates (locations) and corresponding function values (y-values), labeled as local or global minima/maxima within the specified bounds.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "fn",
  "bounds"
 ],
 "properties": {
  "fn": {
   "type": "string"
  },
  "bounds": {
   "type": "array",
   "description": "[lower, upper]"
  },
  "method": {
   "type": "string"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-calculus-extrema-finder-feca3449/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numomo.vercel.app](https://www.zero.xyz/host/numomo.vercel.app/llms.txt)