{"uid":"cap_LlsrRLz-_8K74ZEB7Jfqa","slug":"numora-calculus-extrema-finder-33090bc4","name":"Numora Calculus Extrema Finder","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://numorapoi.orbonomy.xyz/api/calculus/extrema","method":"POST","headers":{},"bodySchema":{"type":"object","required":["fn","bounds"],"properties":{"fn":{"type":"string"},"bounds":{"type":"array","description":"[lower, upper]"},"method":{"type":"string"}}},"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":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.04/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.04","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.04","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_hXkpcv9md8zZi5imluCmL","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.04","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Finds local and global extrema (minima and maxima) of a mathematical function over a specified interval using pure computation","exampleAgentPrompt":"Find all the local and global maxima and minima of f(x) = x^3 - 3x^2 + 2 on the interval [-1, 4].","exampleUseCases":null,"resultDescription":"Returns a JSON object with a 'result' containing the identified extrema (minima and maxima), their x-coordinates, and corresponding function values, plus a human-readable 'computation' description summarizing what was found over the specified bounds.","failureModes":["Invalid or unparseable function expression returns an error","Bounds array not provided as [lower, upper] pair causes validation failure","Non-numeric bounds result in computation failure","Function with no extrema on the given interval may return empty result set","Interval where lower >= upper may return an error","Very complex symbolic expressions may fail to parse correctly"],"whenToPreferThis":"Choose this endpoint when you need pure mathematical extrema detection on a closed interval without any external service dependencies, when micropayment-per-call billing is acceptable, and when you want a self-contained computation that returns structured results. Prefer over general-purpose CAS systems when you want a lightweight, fast API call specifically for calculus optimization tasks.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T00:32:04.487Z","isFirstParty":false}