Math & Scientific
Derivative Calculator
Derivative Calculator is a browser-based calculator tool on CalcToolsBase. Free, browser-based Derivative Calculator with instant, clearly-labelled results. No signup, no uploads. To use it, enter your values and view the result directly in your browser — no signup and nothing to install.
Enter your expression in x and evaluate at x = and Derivative Calculator works out the derivative value with a numerical difference at the point you choose — fast, free and private, with no sign-up or uploads.
About this calculator
Derivative Calculator makes it easy to estimate a derivative. Enter your expression in x and evaluate at x =, and it uses a numerical difference at the point you choose to show the derivative value instantly. Everything is computed in your browser, for both speed and privacy.
It's aimed at calculus students: give it your expression in x and evaluate at x = and the derivative value comes back clearly labelled, with tidy, easy-to-read numbers. The tool is free, ad-light, and keeps everything in your browser.
How to use
- Type a function of x, for example x^2 + 3x + 2.
- Enter the point x at which you want the slope.
- Press Calculate to estimate the derivative there.
- Read f'(x), the instantaneous rate of change at that point.
Why use Derivative Calculator
Fast
Calculations run in your browser. No round trip to a server.
Private
Your inputs never leave your device. Nothing is uploaded.
Free
No signup, no paywall, no ads-in-results, no watermarks.
Accurate
Numerical estimates, with the method shown in each result.
Mobile-ready
Optimised for phones, tablets, and desktops alike.
Transparent
Honest disclaimers wherever browser limits or regional rules apply.
Common uses
Derivative in tutoring and teaching sessions
Derivative in competitive-exam practice
Derivative for homework and assignment checks
Derivative for verifying answers from a textbook
Derivative for double-checking a spreadsheet result
Derivative for quick mental-math cross-checks
Technical notes
Derivative Calculator estimates the derivative numerically with a central difference at the point you enter.
Inputs are taken exactly as entered, so check for typos before trusting an answer.
All arithmetic runs in your browser using double-precision floating point, so extreme inputs may show tiny rounding differences.
FAQ
Is this a symbolic or a numerical derivative?
It is numerical. The derivative is estimated with a central-difference formula at the point you choose, not by deriving a symbolic expression.
Which functions can I use?
You can use +, minus, *, /, ^ and functions such as sin, cos, tan, exp, ln, sqrt and abs, with x as the variable.
Why is the answer slightly off from the exact value?
Numerical differentiation introduces a tiny approximation error, so the estimate usually matches the exact slope to several decimal places.
Does the Derivative Calculator send my data to a server?
No. The Derivative Calculator runs entirely in your browser, so nothing you enter is uploaded, stored, or shared.
Worked example
The derivative of f(x) = x³ is f′(x) = 3x²; at x = 2 that is 3 × 4 = 12.