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:
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).
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