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Power Rule — Differentiate Polynomial Functions

d/dx[x^n] = n·x^(n−1). Applies to all real exponents. Constant rule: d/dx[c] = 0.

CalculusCommon Core FUN-3.ADERVerified correct ✓

Worked examples

Find d/dx[-3*x - 4].
Answer: -3

Find d/dx[3*x**3 - x**2 - 2*x + 2].
Answer: 9*x**2 - 2*x - 2

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Derivative from the Limit Definition

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