Diverse Outcomes from Identical Operations

I am facing an interesting issue with my code. When I hard code a number into the script to find the derivative at a specific point, it gives me the correct answer. However, if I use a variable with the same number in the script, the result is completely wrong.

HTML

Point<br>
<input type="text" name="point" id="point" class="form"><br>
<p id="submit" onclick="submit()" name="solve">click</p><br>

Script

<script type="text/javascript>{
function diff(f) {
return function(x) { return (f(x+.0000000001)-f(x))/.0000000001 };
}

function f(x) {
return x*x+2*x+1;
}

fprime = diff(f);

function submit() {
var point = document.getElementById("point").value;

console.log(point); //-0.5

var q = fprime(-0.5); //Will output 1
var w = fprime(point); //Will output 749999998.98
}

Do you have any insights on why this discrepancy is happening and how I can fix it?

Answer №1

The issue lies in the fact that 'point' is currently being stored as a string, rather than a number. To resolve this, you can either convert the value to a number using parseFloat(), or utilize a unary operator like so:

var point = +document.getElementById("point").value;

Check out a demonstration of this solution here: Fiddle

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