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Mean Value Theorem Calculator
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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