{"uid":"cap_EKpVnNZ84E_8FFwDkjiZy","slug":"numora-calculus-extrema-finder-ae018fa4","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://numormo.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_p14eiBkJchc4KNQeRkZv4","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 extrema of f(x) = x^3 - 3x^2 + 2 on the interval [-1, 4] — I need the local minima and maxima with their x and y values.","exampleUseCases":[{"title":"Optimize a profit function","prompt":"I have a profit function P(x) = -2x^2 + 40x - 100 where x is units sold. Find the maximum profit over the range x = 0 to 25."},{"title":"Find turning points of a polynomial","prompt":"Can you find all the local minima and maxima of x^4 - 8x^2 + 3 between x = -4 and x = 4?"},{"title":"Locate minimum of a physics energy function","prompt":"Find the minimum value of the potential energy function E(x) = cos(x) + 0.5x^2 over the interval [-3, 3]."}],"resultDescription":"Returns a JSON object with success flag, a human-readable computation description, and a result object containing identified extrema points — including x-coordinates, function values at those points, and classification of each point as a local minimum, local maximum, or global extremum within the specified bounds.","failureModes":["Invalid or unparseable function expression — returns error indicating syntax issue","Bounds array missing or malformed — validation error on required fields","Function is not differentiable or has discontinuities in the interval — may return empty or partial results","Interval too large or function too complex — may timeout or return imprecise results","Division by zero or undefined values within bounds — computation error returned"],"whenToPreferThis":"Choose this endpoint when you need pure mathematical extrema computation with no external dependencies — ideal for AI agents performing calculus-based optimization, analyzing mathematical models, or finding critical points of symbolic/algebraic functions expressed as strings. Prefer this over numerical optimization libraries when you want a hosted, pay-per-use microservice with x402 micropayment support on Base. Not suitable for data-driven optimization or machine learning model tuning.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T18:52:10.757Z","isFirstParty":false}