Average Rate of Change of the Function Calculator
function calculateAverageRateOfChange() {
var x1 = parseFloat(document.getElementById("x1").value);
var fx1 = parseFloat(document.getElementById("fx1").value);
var x2 = parseFloat(document.getElementById("x2").value);
var fx2 = parseFloat(document.getElementById("fx2").value);
var resultElement = document.getElementById("result");
if (isNaN(x1) || isNaN(fx1) || isNaN(x2) || isNaN(fx2)) {
resultElement.innerHTML = "Please enter valid numbers for all fields.";
return;
}
if (x1 === x2) {
resultElement.innerHTML = "The two x-values cannot be the same (x2 – x1 would be zero).";
return;
}
var deltaY = fx2 – fx1;
var deltaX = x2 – x1;
var averageRateOfChange = deltaY / deltaX;
resultElement.innerHTML = "The average rate of change is: " + averageRateOfChange.toFixed(4);
}
.calculator-widget {
font-family: sans-serif;
border: 1px solid #ccc;
padding: 20px;
border-radius: 8px;
max-width: 600px;
margin: 20px auto;
background-color: #f9f9f9;
}
.calculator-widget h2 {
text-align: center;
margin-bottom: 20px;
color: #333;
}
.calculator-inputs {
display: grid;
grid-template-columns: repeat(2, 1fr);
gap: 15px;
margin-bottom: 20px;
}
.input-group {
display: flex;
flex-direction: column;
}
.input-group label {
margin-bottom: 5px;
font-weight: bold;
color: #555;
}
.input-group input {
padding: 10px;
border: 1px solid #ddd;
border-radius: 4px;
box-sizing: border-box;
font-size: 1rem;
}
.calculator-widget button {
display: block;
width: 100%;
padding: 12px 20px;
background-color: #007bff;
color: white;
border: none;
border-radius: 4px;
font-size: 1.1rem;
cursor: pointer;
transition: background-color 0.3s ease;
margin-bottom: 20px;
}
.calculator-widget button:hover {
background-color: #0056b3;
}
.calculator-result {
background-color: #e9ecef;
padding: 15px;
border-radius: 4px;
border: 1px solid #ced4da;
}
.calculator-result h3 {
margin-top: 0;
color: #333;
}
#result {
font-size: 1.2rem;
font-weight: bold;
color: #28a745;
}
.calculator-explanation {
margin-top: 25px;
border-top: 1px solid #eee;
padding-top: 20px;
color: #444;
line-height: 1.6;
}
.calculator-explanation h3, .calculator-explanation h4 {
color: #333;
margin-bottom: 10px;
}
.calculator-explanation p, .calculator-explanation ul {
margin-bottom: 15px;
}
.calculator-explanation ul {
list-style-type: disc;
margin-left: 20px;
}
.calculator-explanation li {
margin-bottom: 5px;
}
.calculator-explanation strong {
font-weight: bold;
}