Calculus Engine — Advanced Calculus Calculator

CALCULUS ENGINE

ADVANCED CALCULUS CALCULATOR v1.0

∂NUMERICAL DERIVATIVE

f'(x) ≈ [f(x+h) - f(x-h)] / (2h)

Function f(x)

At point x

Step h (optional)

RESULT

∫NUMERICAL INTEGRATION

∫ₐᵇ f(x) dx ≈ (b-a)/N * Σ f(xᵢ) (Simpson)

Function f(x)

Lower limit a

Upper limit b

Intervals N (even)

RESULT

limLIMIT APPROXIMATION

lim_{x→c} f(x)

Function f(x)

Approach c

Direction

RESULT

ΣTAYLOR SERIES COEFFICIENTS

f(x) ≈ Σ [f⁽ⁿ⁾(a)/n!] (x-a)ⁿ

Function f(x)

Center a

Degree

RESULT