// multi-utility computation suite · offline · instant · precise
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│ [c] calcalyst_ │
│ computation suite │
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math.polynomial-eval Calculator
Evaluates a polynomial and its first derivative at a given x, useful as the core of Newton's method for root finding. Newton's method uses p(x)/p'(x) at each step — knowing both values simultaneously makes each iteration O(n) using Horner's method.
Inputs
A
Reference formula or conversion factor shown for context.
B
Reference formula or conversion factor shown for context.
C
Reference formula or conversion factor shown for context.
X
Reference formula or conversion factor shown for context.
Results
f(x)
Reference formula or conversion factor shown for context.
f-prime(x) (derivative)
The instantaneous rate of change — the slope of the tangent line at a point. In physics: derivative of position = velocity; derivative of velocity = acceleration.
x
Reference formula or conversion factor shown for context.
polynomial
Sample size or count used in the calculation.
critical point x
Sample size or count used in the calculation.
f(0)
Reference formula or conversion factor shown for context.