How it works
Evaluate coefficients with Horner’s method. Form derivative coefficients c[i]×(degree−i) and evaluate those with the same method.
Input definitions
- Coefficients from highest power to constant
- Plain text; maximum 200,000 characters.
- Value of x
- Enter the value in the labeled unit.
A worked example
- Coefficients from highest power to constant
- 1,0,-4
- Value of x
- 3
Assumptions & limits
Degree at most 20. Numeric coefficient lists only; expressions are not evaluated as code. Result uses floating-point arithmetic.
Sources & review
Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.
Method updated 2026-10-17. Content checked against the stated method and examples. Our verification approach.
Common questions
Do I include zero coefficients for missing powers?
Yes. For x²−4 enter 1,0,−4. Omitting the zero would describe x−4, which is a different polynomial.
How does Polynomial value and derivative work?
Evaluate coefficients with Horner’s method. Form derivative coefficients c[i]×(degree−i) and evaluate those with the same method.
What are the limits of Polynomial value and derivative?
Degree at most 20. Numeric coefficient lists only; expressions are not evaluated as code. Result uses floating-point arithmetic.