A calculus library for javascript. Created by Blake Sanie.
Download using NPM
$ npm install calculessDownload using Yarn
$ yarn add calculessEmbed using jsDelivr
<script src="https://cdn.jsdelivr.net/npm/calculess@1.0.2/lib.js"></script>Import and initialize package
var Calculess = require('calculess'); var Calc = Calculess.prototype;Evaluate a limit
Calc.limAt( x , function );Evaluate a limit from the left
Calc.limLeftOf( x , function );Evaluate a limit from the right
Calc.limRightOf( x , function );- Accept ±Infinity as x value (parameter)
- Can output ±Infinity
- Output NaN when the limit does not exist
function recip(x) { return 1 / x; } Calc.limLeftOf(0, recip); // -Infinity Calc.limRightOf(0, recip); // Infinity Calc.limAt(0, recip); // NaN Calc.limAt(1, recip); // 1
Evaluate f'(x)
- Note: If the given function is not continuous or differentiable at the target, NaN is returned
Calc.deriv( x , function );Evaluate a derivative to the nth degree of x
- Note: as the degree increases, .nthDeriv() becomes less accurate. Also, continuity and differentiability are not checked.
Calc.nthDeriv( degree, x , function );function para(x) { return x * x; } Calc.deriv(2, para); // 4 Calc.nthDeriv(2, 2, para); // 2 Calc.nthDeriv(3, 2, para); // 0 function sharp(x) { return Math.abs(x); } Calc.deriv(1, sharp); // 1 Calc.nthDeriv(2, 1, sharp); // 0 Calc.deriv(0, sharp); // NaN.gif)
Evaluate an integral using midpoint Riemann Sums
Calc.integral( start , end , function , numSubintervals );Evaluate a function's average value
Calc.averageValue( start , end , function , numSubintervals );Note: As the number of subintervals increases, .intregral() becomes more accurate, though more time is required for calculations
function sin(x) { return Math.sin(x); } Calc.integral(0, Math.PI, sin, 10); // 2.0082484079079745 Calc.integral(0, Math.PI, sin, 100); // 2.000082249070989 Calc.integral(0, Math.PI, sin, 1000); // 2.000000822467294 Calc.integral(0, Math.PI, sin, 10000); // 2.000000008224376 Calc.integral(0, Math.PI, sin, 100000); // 2.000000000081865