Derivative Calculator With StepsEvery rule named, every step shown.

Type a function such as x³ sin x or (x² + 1)/(x − 1) and get its derivative with each rule explained.
Second and higher derivatives, partial derivatives and implicit differentiation are included.

Rule for every stepHigher derivativesImplicit dy/dx

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THREE SIMPLE STEPS

How to use the Derivative Calculator

Type the function

Write it as you would on paper, for example x^3 sin(x), e^(2x) ln(x) or sqrt(1 + x^2).

Choose the variable and order

The variable is found automatically. Pick a second or third derivative if you need one.

Read the steps

See which rule applies at each step, the simplified derivative and a numerical check of the result.

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Derivative Calculator FAQ

Which differentiation rules does it use?

The sum, constant multiple, power, product, quotient and chain rules, plus the derivatives of exponentials, logarithms, trig, inverse trig and hyperbolic functions. Powers like xˣ use logarithmic differentiation.

Can it find the second derivative?

Yes. Choose the order (up to the fifth derivative) and each derivative is worked out step by step from the one before.

Does it do implicit differentiation?

Yes. Type an equation such as x^2 + y^2 = 25 and the calculator differentiates both sides and solves for dy/dx.

How do I know the derivative is correct?

The result is compared with the slope of the original function at several points before it is shown, and the check appears under the answer.

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