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math.calculus-derivative Calculator
Calculates the derivative of a polynomial using the power rule at a given point, returning both the derivative function and the slope value. The power rule (d/dx[xⁿ] = n·xⁿ⁻¹) is the single most used differentiation rule in calculus.
Inputs
Coeff
Reference formula or conversion factor shown for context.
Exp
Reference formula or conversion factor shown for context.
X
Reference formula or conversion factor shown for context.
Results
derivative term
The instantaneous rate of change — the slope of the tangent line at a point. In physics: derivative of position = velocity; derivative of velocity = acceleration.
slope at x
The gradient -- rise divided by run. In finance, rate of change per unit time.