{"uid":"cap_fV9bVk_Dufu5NYLxlBYKf","slug":"numora-calculus-derivative-endpoint-d2453f24","name":"Numora Calculus Derivative Endpoint","description":"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.","url":"https://numormor.netlify.app/api/calculus/derivative","method":"POST","headers":{},"bodySchema":{"type":"object","required":["x","fn"],"properties":{"h":{"type":"number"},"x":{"type":"number"},"fn":{"type":"string"},"order":{"type":"integer"}}},"responseSchema":{"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"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":{"p10Cents":"10.0000","medianCents":"10.0000","p90Cents":"10.0000","minCents":"10.0000","maxCents":"10.0000","p95Cents":"10.0000","sampleCount":1,"varies":false,"failureChargeRate":1},"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_cE9lVH5H95fCRko-DOt3Y","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the numerical derivative of a mathematical function at a specified point, with support for higher-order derivatives and custom step size.","exampleAgentPrompt":"Calculate the second-order derivative of x^3 + 2*x^2 - 5 at x = 3 using a step size of 0.001.","exampleUseCases":null,"resultDescription":"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.","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-13T18:44:26.707Z","isFirstParty":false}