Polynomial Derivative
Differentiate coefficient-form polynomials and evaluate the derivative at x.
Your numbers
Derivative at x
Use consistent units. The result follows the assumptions you enter.
Scenario comparison
Up to three snapshots in this tab. Loading one replaces the current inputs.
Formula
d(aₙxⁿ)/dx = n aₙ x^(n−1)
Differentiate coefficient-form polynomials and evaluate the derivative at x.
Worked example
- Coefficients, highest power first
- 3, 2, 1
- Evaluate at x
- 2
- Derivative at x
- 14
- Derivative coefficients, descending powers
- 6, 2
Scope and limitations
Use consistent units. The result follows the assumptions you enter.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: 2b63f5240cb0 · Example checked: