The most fundamental differentiation rule. Works for any real exponent n, including fractions and negatives.
Physics — Deriving v = dx/dt and a = dv/dt for polynomial motion.
Economics — Marginal analysis of polynomial cost/revenue functions.
Engineering — Polynomial curve fitting and slope analysis.
Biology — Growth rate in polynomial population models.
Finance — Rate of return on polynomial investment growth.
Chemistry — Rate of concentration change in reactions.
Statistics — Derivative of polynomial regression models.
Computer graphics — Bezier curve tangent calculations.
Machine learning — Gradient descent optimization.
Signal processing — Polynomial filter response analysis.
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