Derivative Calculator
Our derivative calculator names every rule it uses — sum, power, product, quotient and chain rule — and shows the intermediate derivatives. The result is verified against numerical differentiation at several points.
How to use the derivative calculator
- Enter the function, e.g. x^2 sin(x) or e^(3x)/x.
- Choose the variable and the order.
- Optionally evaluate the derivative at a point to get a slope.
Examples
d/dx [x² sin x]
Answer: 2x sin x + x² cos x
Product rule
d/dx [sin(x²)]
Answer: 2x cos(x²)
Chain rule
d²/dx² [e^(2x)]
Answer: 4e^(2x)