✓ Effortless Math · Free Tool

Derivative Calculator

Enter a polynomial in x to differentiate it term-by-term with the power rule, evaluate f′(x) at a point, and see a live graph of f and f′ — with full step-by-step working. Switch to numeric mode for any function f(x).

Power rule:  d/dx( a·xⁿ ) = a·n·xⁿ⁻¹
f(x) = function at  x = point (optional)

Polynomial mode: type a polynomial like 3x^3 - 2x^2 + 5x - 7. Use ^ for powers. Leave the point blank to skip evaluating f′(x).

Results

Derivative
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Original function — f(x)
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Derivative — f′(x)
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f′(x₀)
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Degree of f(x)
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Graph

f(x)f′(x)point

Step-by-step (power rule)