Mean Value Theorem Calculator

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Mean Value Theorem Calculator

Interval Start (a) Interval End (b) f(a) f(b)

Result: —

const a = document.getElementById(“a”); const b = document.getElementById(“b”); const fa = document.getElementById(“fa”); const fb = document.getElementById(“fb”); const result = document.getElementById(“result”); function calculateMVT() { const aVal = parseFloat(a.value); const bVal = parseFloat(b.value); const faVal = parseFloat(fa.value); const fbVal = parseFloat(fb.value); if (!isNaN(aVal) && !isNaN(bVal) && !isNaN(faVal) && !isNaN(fbVal) && bVal !== aVal) { const slope = (fbVal – faVal) / (bVal – aVal); result.textContent = `Result: f'(c) = ${slope.toFixed(4)}`; } else { result.textContent = “Result: —”; } } // Auto-calculate on input document.getElementById(“mvtForm”).addEventListener(“input”, calculateMVT); // Google Analytics tracking on input click document.querySelectorAll(“#mvtForm input”).forEach(input => { input.addEventListener(“focus”, function() { if (typeof gtag === “function”) { gtag(‘event’, ‘input_focus’, { ‘event_category’: ‘Mean Value Theorem Calculator’, ‘event_label’: this.id }); } }); });

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