โˆ‚Derivative Calculator

Differentiate any function step by step โ€” chain, product, and quotient rules explained, with a graph of f(x) and f'(x).

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Derivative
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Slope at point

Calculations run entirely in your browser using math.js for parsing, symbolic differentiation, and evaluation. No data is sent to a server.

Free Derivative Calculator With Steps

Need to find a derivative fast โ€” or actually understand how to get there? Our free derivative calculator with steps solves it instantly and shows every step along the way. Type in any function, choose the order of the derivative you need, and watch the chain rule, product rule, quotient rule, and power rule applied explicitly, not just summarized.

Unlike calculators that only spit out an answer, this one shows the reasoning: which rule fires at each step and how the expression simplifies down to the final result. A live graph plots your function alongside its derivative, so you can see the relationship between a curve and its slope. Non-differentiable points are detected and explained clearly instead of throwing an error.

Enter a function to get started. No sign-up, no downloads, no limits. See the About page or the FAQ for more.