Derivative Calculator
Differentiate a function symbolically and evaluate the derivative at a point.
What is Derivative?
A derivative measures the instantaneous rate of change of a function: how much f changes for a tiny change in x. It is the slope of the tangent line, and the rules for computing it — power, product, quotient and chain — are what calculus is largely about.
How it works
The function is parsed into an expression tree and differentiated recursively by the standard rules, so the result is exact rather than a finite-difference approximation. The grammar is deliberately narrow and named on the page: polynomials, sin, cos, tan, exp, ln, sqrt and abs, combined with +, −, ×, ÷ and ^.
- Enter your input. Type or paste your input into the field above — the tool responds instantly.
- Review the result. Output updates live as you type. Everything runs entirely in your browser.
- Copy or download. Use the Copy button to grab the result, or Download to save it as a file.
Examples
Realistic sample
Type or paste any realistic input — the tool computes the result locally and instantly.
Common mistakes
Expecting a server round-trip
Nothing is uploaded — every tool in this category runs entirely in your browser.