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MathCalculus

Differentiation of x^3: Find d/dx(x^3)

Expanding the difference quotient for x³ leaves 3x² after h cancels and h approaches zero, matching the power rule.

Question

Find

ddx(x3).\frac{d}{dx}(x^3).

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Evidence boundary

This result is for the real-valued polynomial f(x)=x3f(x)=x^3. Polynomials are differentiable for every real xx, so no domain exclusions are needed.