{"uid":"cap_nLGrRibMANguyz8eHG9a_","slug":"numora-calculus-extrema-finder-feca3449","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://numomo.vercel.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":"registry","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":"$0.1/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_1LjpIE6j3zDGC76O7bBNP","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":null,"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 minima and maxima of f(x) = x^3 - 6x^2 + 9x + 1 on the interval [0, 5] — I need to know where the function peaks and dips.","exampleUseCases":[{"title":"Optimizing a cost function","prompt":"I have a cost function C(x) = 2x^2 - 8x + 10 and I need to find its minimum value on the interval [0, 6]. Can you find the extrema so I know the optimal production level?"},{"title":"Finding turning points of a trigonometric curve","prompt":"Find all the local maxima and minima of f(x) = sin(x) + 0.5*cos(2x) on the interval [0, 6.28]. I need to know where the wave peaks and troughs."},{"title":"Locating extrema for physics problem","prompt":"I have a position function p(t) = -t^3 + 3t^2 + 9t over the time interval [0, 4]. Can you find where it reaches its maximum and minimum so I can identify the turning points of the motion?"}],"resultDescription":"Returns a JSON object with success status, a human-readable computation description, and a result object containing identified extrema points — including their x-coordinates (locations) and corresponding function values (y-values), labeled as local or global minima/maxima within the specified bounds.","failureModes":["Invalid or unparseable function expression returns an error","Bounds array missing or malformed (e.g. not exactly two numbers) causes a 400-style failure","Function has no extrema in the given interval (e.g. monotonically increasing) may return empty extrema list","Discontinuous or undefined functions within bounds may produce unexpected results","Very large or very small bounds may cause numerical precision issues"],"whenToPreferThis":"Choose this endpoint when you need pure server-side numerical computation of function extrema without any external library dependencies — ideal for AI agents performing mathematical analysis, optimization tasks, or calculus homework assistance. Prefer this over general-purpose code execution when you want a clean, deterministic JSON result for a known function expression and bounded interval, and when micropayment-per-call pricing is acceptable.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T06:32:09.074Z","isFirstParty":false}