Derivative Calculator
Compute the derivative of any function with respect to a variable. Our calculator applies the power, product, quotient, and chain rules, then simplifies the result.
CalculusFree · no sign-upStep-by-step answers
How to use this calculator
- 1Enter your values or expression in the fields above.
- 2Press Enter or click the calculate button.
- 3Read the result, then follow the numbered step-by-step working to understand each stage.
Worked Examples
Frequently Asked Questions
What is a derivative?
A derivative measures the rate of change of a function at a point — geometrically, the slope of the tangent line.
What is the power rule?
d/dx[xⁿ] = n·xⁿ⁻¹. Multiply by the exponent, then decrease it by 1.
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Learn the concepts
Understand the theory behind this calculator.
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Derivatives
A derivative measures the instantaneous rate of change of a function.
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Limits
A limit describes the value a function approaches as the input approaches some value.
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Integrals
Integration is the reverse of differentiation. It computes accumulated quantities and areas.
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Differential Equations
A differential equation relates a function to its derivatives.