From b95875585cee7b62acefafca7e8d1378bcf34e9d Mon Sep 17 00:00:00 2001 From: Sabari Ganesh Date: Tue, 22 Feb 2022 09:54:06 +0530 Subject: [PATCH] added derivative calculator --- .../Integration/Topic/Calculator.js | 239 ++++++++++++++++++ .../src/Components/Integration/integration.js | 6 + funwithphysics/src/Images/derivative1.png | Bin 0 -> 12597 bytes 3 files changed, 245 insertions(+) create mode 100644 funwithphysics/src/Images/derivative1.png diff --git a/funwithphysics/src/Components/Integration/Topic/Calculator.js b/funwithphysics/src/Components/Integration/Topic/Calculator.js index 15f90f784..866fafbfa 100644 --- a/funwithphysics/src/Components/Integration/Topic/Calculator.js +++ b/funwithphysics/src/Components/Integration/Topic/Calculator.js @@ -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(); @@ -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. ", +
, + ], + example1: [ + 1), + "Find the derivative of the function sin(x^2) at x -> a where a is 3.", +
, + Solution: , + + "Finding the derivative of sin(x^2) we get , ", +
, + "f'(x) = 2*x*cos(x^2) ", +
, + "Substituting x = 3 , we get slope as 6*cos(9rad)", +
, +
, + " Computing the value we get the slope as ", + -5.43 , + ], + example2: [ + 2), + "Find the derivative of the function 1/x at x -> a where a is 0.", +
, + Solution: , + + "Finding the derivative of 1/x we get , ", +
, + "f'(x) = -1/x^2 ", +
, + "Substituting x = 0, we get slope as 1/0.", +
, +
, + " Computing the value we get the slope as ", + Infinity, + ], + }, ]; const page = Topics.filter((data) => data.topic === topic); @@ -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 ( + <> +
+ + + To find the derivative of function + +
+ + + + + + + [Trigonometric values should be enclosed in brackets (Eg:- + sin(x^2))] + +
+ +
+ +
+
+ + setparameter(e.target.value)} + value={parameter} + /> +
+ +
+ + setfunc(e.target.value)} + value={func} + /> +
+
+ +
+
+ + + + + +
+ +     + +
+
+ + +
+
+

Derivative

+ + + + + + + + + + + + + + +
LimitFormula
Derivative of f(x) at x = a + derivative +
+
+ + ); + }; //adding the calculators together function calC(key) { let currentCall; @@ -423,6 +658,10 @@ function Calculator() { break; case "Limits": currentCall = Limit(); + break; + case "Derivative": + currentCall = Derivative(); + break; default: break; } diff --git a/funwithphysics/src/Components/Integration/integration.js b/funwithphysics/src/Components/Integration/integration.js index 8d8b96b66..390adb125 100644 --- a/funwithphysics/src/Components/Integration/integration.js +++ b/funwithphysics/src/Components/Integration/integration.js @@ -24,6 +24,12 @@ export default function Integration() { formula: "", process: "", }, + { + topic: "Derivative", + details: ``, + formula: "", + process: "", + }, ]; return ( diff --git a/funwithphysics/src/Images/derivative1.png b/funwithphysics/src/Images/derivative1.png new file mode 100644 index 0000000000000000000000000000000000000000..4182c2cee454ddf873b450eeaee6ae6f8580bdb7 GIT binary patch literal 12597 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