# Numora Calculus Derivative Endpoint

> Numora Calculus Derivative Endpoint is a paid API for AI agents from numormor.netlify.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-16).

Computes the numerical derivative of a mathematical function at a specified point, with support for higher-order derivatives and custom step size.

## Facts

- Endpoint: POST https://numormor.netlify.app/api/calculus/derivative
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-16
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-calculus-derivative-endpoint-d2453f24
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_fV9bVk_Dufu5NYLxlBYKf

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-derivative-endpoint-d2453f24 -d '<json body>'
```

Example prompt: Calculate the second-order derivative of x^3 + 2*x^2 - 5 at x = 3 using a step size of 0.001.

## When to prefer this

Use this endpoint when you need fast, on-demand numerical differentiation of a mathematical function at a specific point, especially when no symbolic math library is available or when you want a zero-dependency cloud computation. Ideal for AI agents performing calculus tasks, scientific computing pipelines, or educational math tools that need derivative values without setting up local math environments.

## Known failure modes

- Invalid or unparseable function expression returns an error
- Non-numeric x value causes a 400-level validation error
- Order parameter must be a positive integer; non-integer or zero values may fail
- Step size h too small (floating point underflow) or too large (inaccurate approximation) may yield poor results
- Payment not included or insufficient USDC causes 402 Payment Required response

## 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

A JSON object containing a 'result' object with the computed derivative value, a 'computation' string describing what was calculated in human-readable form, and a 'success' boolean confirming the computation completed without error.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "x",
  "fn"
 ],
 "properties": {
  "h": {
   "type": "number"
  },
  "x": {
   "type": "number"
  },
  "fn": {
   "type": "string"
  },
  "order": {
   "type": "integer"
  }
 }
}
```

## 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-derivative-endpoint-d2453f24/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
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