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Derivative calculator

Differentiate a polynomial and evaluate its slope at x.

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Answer

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The derivative of c × x^n is n × c × x^(n − 1). Differentiate each polynomial term and combine the results.

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Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.
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Formula and assumptions
Supports polynomials in x through degree 20 with decimal coefficients. This is a polynomial derivative tool, not a general symbolic engine: functions, quotients and parentheses are not supported. Coefficients and evaluated values use floating-point arithmetic.
Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.
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Using Derivative calculator
The derivative of c × x^n is n × c × x^(n − 1). Differentiate each polynomial term and combine the results.
Supports polynomials in x through degree 20 with decimal coefficients. This is a polynomial derivative tool, not a general symbolic engine: functions, quotients and parentheses are not supported. Coefficients and evaluated values use floating-point arithmetic.
Next: Graph functions online
A worked example
With polynomial in x = 3*x^2 + 2*x + 1, evaluate derivative at x = 2, the derivative is 6x + 2.
Next: Integral calculator
Before you use the result
Supports polynomials in x through degree 20 with decimal coefficients. This is a polynomial derivative tool, not a general symbolic engine: functions, quotients and parentheses are not supported. Coefficients and evaluated values use floating-point arithmetic.
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ToolOctopus. “Derivative calculator.” Updated 2026-09-26. https://tooloctopus.com/derivative-calculator.
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