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· 4 min read
3 Derivative Calculator Tools, Compared Honestly
Heshan Fernando
Co-founder & COO
You’ve got an expression in x and need its derivative — for homework, a quick check, or to see which differentiation rule actually applies.
The answer itself is only half of what’s useful here. Seeing the steps — which rule fired, in what order — is what actually helps you learn the process rather than just getting a result to copy down.
How to judge a derivative calculator tool
Shows full steps for free. A calculator that gates the actual working behind a subscription isn’t much better than a plain answer box.
Names the rules used. Power rule, product rule, chain rule — seeing which one applied where turns a black-box answer into something you can learn from.
No signup for a quick check. Solving a single derivative is a one-off task.
Simplifies the result. A raw, unsimplified derivative is harder to check against your own work than a cleanly reduced one.
The comparison
| Tool | Best for | Free tier | Watch out |
|---|---|---|---|
| Derivative Calculator (derivative-calculator.net) | Higher-order and partial derivatives, practice problems | Free, no signup | Donation appeal shown, though not a paywall |
| DerivativeCalculus.com | Fully local CAS, graphs, PDF export | 100% free, no limits | Newer/less established than some alternatives |
| Symbolab | Widely used, recognizable interface | Free answer only | Full step-by-step solution is gated behind a subscription |
| Derivative Calculator | Symbolic derivative with rules listed step by step | Free, no signup | No higher-order (2nd, 3rd derivative) support |
Facts checked August 2026; tools change their plans.
Derivative Calculator (derivative-calculator.net)
This tool computes first through fifth-order derivatives, partial derivatives, implicit differentiation, and roots, plus a practice problem generator with an answer-checking feature — all free with no signup.
It isn’t for someone who wants a completely ad-free, upsell-free page — a donation appeal appears on the site, though it doesn’t gate any functionality.
DerivativeCalculus.com
DerivativeCalculus.com runs a full symbolic Computer Algebra System locally in your browser with nothing sent to a server, plus interactive 2D/3D graphs and PDF export, completely free with no limits on calculations.
It isn’t for someone who wants a long-established, widely recognized tool — it’s a newer entrant compared to some of the more established derivative calculators.
Symbolab
Symbolab is one of the most widely recognized math-solving tools online, with a familiar interface many students already know from search results, and it gives you a free answer without signup.
It isn’t for someone who wants to see the actual working for free — full step-by-step solutions are gated behind a paid subscription, which limits its usefulness as a learning tool on the free tier.
Derivative Calculator
Our calculator takes an expression in x and returns its symbolic derivative, simplified, with the differentiation rules used listed step by step — entirely in your browser.
A real limitation: it computes first derivatives only — for second, third, or higher-order derivatives, you’d need a tool like derivative-calculator.net.
Which one to pick
If you want a first derivative with the rules shown clearly and nothing gated, use our Derivative Calculator.
If you need higher-order or partial derivatives, use derivative-calculator.net.
If you want graphs and PDF export alongside a fully local calculation, use DerivativeCalculus.com.
If you’re already comfortable with Symbolab’s interface and don’t need the step-by-step for free, use Symbolab.
How to do it with Derivative Calculator
- Open the Derivative Calculator.
- Type your expression in terms of x.
- Read the simplified derivative, with each differentiation rule used listed step by step.
Browse the full tools directory for more free, browser-based math tools.
You might also need
Differentiation and integration are inverse operations, and it’s common to need both in the same session. Our Integral Calculator numerically estimates a definite integral for a function of x over a given lower and upper bound.
Frequently asked questions
Is there a free derivative calculator that shows the full steps?
Yes. Our Derivative Calculator, derivative-calculator.net, and DerivativeCalculus.com all show full working steps for free — Symbolab shows only the final answer without a subscription.
What’s the power rule in differentiation?
The power rule states that the derivative of xⁿ is n·x^(n-1) — it’s the most commonly used rule and usually the first one taught, forming the basis for differentiating most polynomial terms.
Why does my derivative look different from a textbook answer?
Different but mathematically equivalent forms are common — a derivative can often be written multiple ways depending on how it’s simplified or factored. If the values match at several test points, the two expressions are equivalent, a check covered in most standard calculus references.
Final thought
For learning calculus rather than just getting an answer, prioritize a calculator that shows every step for free — the rules applied along the way are more valuable than the final result on its own.