Step-by-Step Derivative Calculator

Master Differentiation with Clear Explanations.

Get the derivative of any function, with every rule and step clearly shown.

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Your Essential Tool for Differentiation

Apply Any Differentiation Rule

Our calculator automatically applies the power, product, quotient, and chain rules, showing you exactly how they work in your specific problem.

Find Higher-Order Derivatives

Easily find the second, third, or any nth derivative of a function to analyze concavity and points of inflection.

Solve Optimization Problems

Use derivatives to find the maximum and minimum values of functions, a key application in calculus and real-world problems.

Derivative Calculator: Frequently Asked Questions

Can it perform implicit differentiation?

Yes. Enter an equation with both $x$ and $y$, like $x^2 + y^2 = 25$, and ask for $dy/dx$. Our solver will perform implicit differentiation correctly.

Does it find critical points and inflection points?

Yes. After finding the derivatives, you can ask it to "find the critical points" or "find the inflection points" to see the full analysis.

Can it handle functions with logarithms and exponentials?

Absolutely. It knows the differentiation rules for all standard functions, including logarithmic, exponential, and trigonometric functions.