Derivative Calculator
Differentiate any function with every rule named: power, product, quotient and chain. Try “differentiate x² sin(x)” and see how each part is built.
Try an example:
What you can do with the Derivative Calculator
Power, product, quotient and chain rules with every step.
Enter your values or describe the problem in the calculator above. Review the result and the explanation before using it in homework, study or practical calculations.
Example input
e.g. differentiate x^2 sin(x)
How the Derivative Calculator works
- Identify the structure: a sum, product, quotient or composition.
- Apply the matching rule, such as (uv)′ = u′v + uv′ for products.
- Differentiate each part, then simplify the result.
Frequently asked questions
What is the chain rule?
For a composite function f(g(x)), the derivative is f′(g(x)) × g′(x): differentiate the outside, then multiply by the derivative of the inside.
What is the derivative of xⁿ?
n·xⁿ⁻¹ (the power rule).
More Calculus calculators
Limit CalculatorEvaluate limits, one-sided limits and limits at infinity.
Integral CalculatorIndefinite and definite integrals, substitution and by parts.
Applications of DerivativesTangent lines, maxima/minima, optimization and related rates.
Area Under a CurveAreas between curves and volumes of revolution.
Differential EquationsSeparable, first-order linear and second-order equations.
Taylor & Maclaurin SeriesPower series expansions and convergence.
Math Solver can make mistakes. Please double-check important steps and calculations.