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Numora Calculus Gradient API
x402
Numora Calculus Gradient API 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).
Computes the numerical gradient (vector of partial derivatives) of a multivariable function at a specified point
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 a 'success' boolean, a 'result' object containing the gradient vector (array of partial derivatives, one per dimension matching the input point), and a 'computation' string describing what was calculated in human-readable form.
Example use cases
Gradient descent step direction
“I'm implementing gradient descent by hand — can you compute the gradient of 'x^2 + 3*y^2 - x*y' at the point [2, 1] so I know which direction to step?”
Steepest ascent on terrain model
“I have a surface defined by 'sin(x)*cos(y)' and I need to know the gradient at the point [0.5, 1.0] to find the steepest uphill direction.”
Sensitivity analysis for engineering
“What are the partial derivatives of the function '2*x^3 + y*z - z^2' evaluated at [1, 4, 2]? I need them for a sensitivity analysis.”
Technical details
Endpoint
POSThttps://numormo.vercel.app/api/calculus/gradientWhen to prefer
Choose this endpoint when you need fast, dependency-free numerical gradient computation for any scalar multivariable function without setting up a local math library. Ideal for AI agents performing optimization steps, sensitivity analysis, or scientific computing tasks that require directional derivative information at a specific coordinate. Prefer over symbolic CAS tools when exact symbolic derivatives are not required and numerical approximation suffices.
Side effects
- Malformed or unparseable function string — returns error indicating invalid expression
- Point array dimension mismatch or empty array — validation error
- Division by zero or mathematical singularity at evaluation point — numerical error returned
- Unsupported mathematical operators or functions in the expression string
- Network timeout on Vercel serverless cold start
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| fnrequired | string | |
| pointrequired | array |
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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