# Numora Calculus Extrema Finder

> 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

## Facts

- Endpoint: POST https://numormo.vercel.app/api/calculus/extrema
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-calculus-extrema-finder-ae018fa4
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_EKpVnNZ84E_8FFwDkjiZy

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-ae018fa4 -d '<json body>'
```

Example prompt: Find all the extrema of f(x) = x^3 - 3x^2 + 2 on the interval [-1, 4] — I need the local minima and maxima with their x and y values.

## When to prefer this

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.

## Known failure modes

- 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

## 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.

## 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-ae018fa4/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)