About DerivCalc

Type any function into the calculator and DerivCalc parses it, differentiates it symbolically, and shows every step of the work — with each rule named (power, product, quotient, chain, and more) and explained in one plain-English sentence. You can take derivatives up to the fifth order, evaluate the result at a point, graph the function alongside its derivative, and export a clean printable solution sheet for homework hand-ins.

Alongside the calculator, the worked solutions library covers the derivatives students search for most, each with a full walkthrough, the common mistakes to avoid, and practice problems.

The entire differentiation engine runs in your browser. Nothing you type is sent to a server, no account is required, and the calculator keeps working offline once the page has loaded. Every answer is also verified numerically: the symbolic result is checked against a finite-difference estimate at several random points before you see a “verified” badge.

Under the hood, DerivCalc tokenizes your input, parses it into an expression tree, and walks that tree applying the standard differentiation rules — recording the name of each rule as it fires so the steps you see match the computation exactly. A simplifier then cleans up the result (collecting constants, cancelling ones and zeros) before rendering it as typeset math. There is no computer-algebra service behind it and no API call: the whole pipeline is a few hundred lines of dependency-free JavaScript.

DerivCalc is built and maintained by SilverCodeLabs, an independent developer studio making small, fast, single-purpose web tools and games. Questions, corrections, or feature requests are always welcome at hello@derivcalc.com.