# Numora Calculus Extrema Finder

> Numora Calculus Extrema Finder is a paid API for AI agents from numormor.netlify.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://numormor.netlify.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-c94736d8
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_T7yY-MsRX68w_xLm0Vc22

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-c94736d8 -d '<json body>'
```

Example prompt: Find all the extrema — both local minima and maxima — of the function f(x) = x^3 - 6x^2 + 9x + 1 on the interval from 0 to 5.

## When to prefer this

Use this endpoint when you need to find minima and/or maxima of a mathematical function over a bounded interval without any external library dependencies. Ideal for optimization problems in pure math contexts, financial modeling (e.g. profit/cost function peaks), or physics simulations where you need exact extrema locations. Prefer this over general-purpose CAS tools when lightweight, cost-effective micropayment-based computation is acceptable.

## Known failure modes

- Invalid or unparseable function expression — returns error describing parse failure
- Bounds array missing or malformed (not a two-element numeric array) — returns validation error
- Function has no extrema on the given interval (e.g. monotone function) — returns empty extrema list
- Division by zero or undefined values within the interval — returns computation error
- Numerical method fails to converge — returns error with method-specific message

## 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=true, a result object containing identified extrema points (x-coordinates and corresponding function values, classified as minima or maxima), and a human-readable computation string describing what was computed.

## 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-c94736d8/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
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