Calxsolver
Calculus

Polynomial Derivative

Enter a polynomial in x using ^ for exponents. The calculator differentiates it exactly, applying the power rule d/dx(c·xⁿ) = c·n·xⁿ⁻¹ to each term and dropping constants. Every term is shown so you can follow the differentiation.

Polynomial Derivative

Differentiate a polynomial exactly with the power rule.

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Frequently asked questions

What is the power rule?

The derivative of c·xⁿ is c·n·xⁿ⁻¹. The derivative of a constant is 0.

How do I type a polynomial?

Use ^ for exponents and combine terms with + and −, for example 3x^3 - 5x^2 + 2x - 7.

Is the result exact?

Yes. Polynomial differentiation is symbolic and exact, not a numeric approximation.

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