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added derivative calculator #435

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239 changes: 239 additions & 0 deletions funwithphysics/src/Components/Integration/Topic/Calculator.js
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Original file line number Diff line number Diff line change
Expand Up @@ -5,6 +5,7 @@ import { useParams } from "react-router";
import "./Calculator.css";
import { Form, Button } from "react-bootstrap";
import limits1 from "../../../Images/limits1.png";
import derivative1 from "../../../Images/derivative1.png";

function Calculator() {
let { topic } = useParams();
Expand Down Expand Up @@ -134,6 +135,47 @@ function Calculator() {
" Hence,the limit of function at x -> 2 is -0.75.",
],
},
{
topic: "Derivative",
details: `The derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. `,
formula: "f'(x)=(Δx→0) lim Δy/Δx = dy/dx ",
process: [
"The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point. ... The process of finding a derivative is called differentiation. ",
<br />,
],
example1: [
<b>1)</b>,
"Find the derivative of the function sin(x^2) at x -> a where a is 3.",
<br />,
<b>Solution: </b>,

"Finding the derivative of sin(x^2) we get , ",
<br />,
"f'(x) = 2*x*cos(x^2) ",
<br />,
"Substituting x = 3 , we get slope as 6*cos(9rad)",
<br />,
<br />,
" Computing the value we get the slope as ",
<b> -5.43 </b>,
],
example2: [
<b>2)</b>,
"Find the derivative of the function 1/x at x -> a where a is 0.",
<br />,
<b>Solution: </b>,

"Finding the derivative of 1/x we get , ",
<br />,
"f'(x) = -1/x^2 ",
<br />,
"Substituting x = 0, we get slope as 1/0.",
<br />,
<br />,
" Computing the value we get the slope as ",
<b> Infinity</b>,
],
},
];

const page = Topics.filter((data) => data.topic === topic);
Expand Down Expand Up @@ -414,6 +456,199 @@ function Calculator() {
</>
);
};

const Derivative = () => {
const [parameter, setparameter] = useState("");
const [func, setfunc] = useState("");

const [result, setResult] = useState(null);
const reset = () => {
setparameter("");
setfunc("");
setResult(null);
};

function compute() {
let f = func;

f = f.split("^").join("**");

f = f.split("sin").join("Math.sin");

f = f.split("cos").join("Math.cos");

f = f.split("tan").join("Math.tan");

f = f.split("cosec").join("Math.cosec");

f = f.split("sec").join("Math.sec");

f = f.split("cot").join("Math.cot");

f = f.split("e").join("Math.exp");

f = f.split("log").join("Math.log");
console.log(f);

const exp = f.split("x").join(parseFloat(parameter));
console.log(exp);
return eval(exp);
}
function computewithvalue(value) {
let f = func;
let v = value;
if (value>-1 && value<1){
v='0';
}
f = f.split("^").join("**");

f = f.split("sin").join("Math.sin");

f = f.split("cos").join("Math.cos");

f = f.split("tan").join("Math.tan");

f = f.split("cosec").join("Math.cosec");

f = f.split("sec").join("Math.sec");

f = f.split("cot").join("Math.cot");

f = f.split("e").join("Math.exp");

f = f.split("log").join("Math.log");
console.log(f,v);
const exp = f.split("x").join(v);
console.log(exp);
return eval(exp);
}

function slope(x1, y1, x2, y2) {
return (y1 - y2) / (x1 - x2);
}

const calculatederiv = () => {
var at = compute();
if (Math.abs(at) == Infinity || at !== at) {
setResult("Infinity");
return ""
}
var y1 = compute();
var x0 = parameter - 0.000000000000001;
var y0 = computewithvalue(x0);
var x2 = parameter + 0.000000000000001;
var y2 = computewithvalue(x2);
var slope1 = slope(x0, y0, parameter, y1);
var slope2 = slope(parameter, y1, x2, y2);

if (x0-parameter === 0 || x2-parameter ===0){
setResult("Infinity")
return ""
}
if (Math.abs(slope1 - slope2) > 0.1) {
setResult(slope1);
return ""
}
setResult(slope1)

return ""
}
return (
<>
<Form>
<Form.Group className="mb-4" controlId="text">
<Form.Text className="text">
<strong> To find the derivative of function</strong>

<br />
</Form.Text>
</Form.Group>

<Form.Group className="mb-4" controlId="text">
<Form.Text className="text">
<strong>
[Trigonometric values should be enclosed in brackets (Eg:-
sin(x^2))]
</strong>
<br />
</Form.Text>
<div className="straight_calc">
<form name="first">
<div className="group">
<div className="coordinate">
<label>Limit at x =</label>
<input
name="parameter"
type="text"
className="easynumeric"
onChange={(e) => setparameter(e.target.value)}
value={parameter}
/>
</div>

<div className="coordinate">
<label>
Function
<br />
[w.r.t x]
</label>
<input
name="function"
type="text"
className="easynumeric"
onChange={(e) => setfunc(e.target.value)}
value={func}
/>
</div>
</div>
</form>
</div>
</Form.Group>

<Form.Group className="mb-4">
<Form.Control
readOnly
type="number"
placeholder={result === null ? "Result" : result + " "}
/>
</Form.Group>
</Form>
<div className="button-custom-grp mb-5">
<Button variant="primary" onClick={calculatederiv}>
Calculate
</Button>
&nbsp;&nbsp;&nbsp;
<Button variant="dark" onClick={() => reset()} type="reset">
Reset
</Button>
</div>
<div className="formula-table mb-4">
<table className="formulae">
<thead>
<section className="m-2">
<tr>
<h3>Derivative</h3>
</tr>
</section>

<tr>
<th className="row-1 row-ID "> Limit</th>
<th className="row-2 row-name ">Formula</th>
</tr>
</thead>
<tbody>
<tr>
<td>Derivative of f(x) at x = a</td>
<td>
<img src={derivative1} alt="derivative" />
</td>
</tr>
</tbody>
</table>
</div>
</>
);
};
//adding the calculators together
function calC(key) {
let currentCall;
Expand All @@ -423,6 +658,10 @@ function Calculator() {
break;
case "Limits":
currentCall = Limit();
break;
case "Derivative":
currentCall = Derivative();
break;
default:
break;
}
Expand Down
6 changes: 6 additions & 0 deletions funwithphysics/src/Components/Integration/integration.js
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Expand Up @@ -24,6 +24,12 @@ export default function Integration() {
formula: "",
process: "",
},
{
topic: "Derivative",
details: ``,
formula: "",
process: "",
},
];

return (
Expand Down
Binary file added funwithphysics/src/Images/derivative1.png
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