Derivative Calculator

A derivative measures the instantaneous rate of change of a function — the slope of the tangent line at any point. Derivatives are the foundation of differential calculus and are used in physics (velocity, acceleration), economics (marginal cost), and optimisation

The calculator uses the standard published formula for derivative calc. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.

The core formula is: Power rule: d/dx[xⁿ] = n·xⁿ⁻¹. Each step in the calculation is shown so you can verify the result manually.