{"uid":"cap_T7yY-MsRX68w_xLm0Vc22","slug":"numora-calculus-extrema-finder-c94736d8","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://numormor.netlify.app/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":{"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_UND_nQQWh4IQDfiNhahDp","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":"Finds local and global minima and maxima (extrema) of a mathematical function over a specified interval","exampleAgentPrompt":"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.","exampleUseCases":null,"resultDescription":"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.","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T06:46:40.218Z","isFirstParty":false}