Numerical Derivative / Integral (Step by Step) Calculator
Enter a function f(x) to compute a numerical derivative or numerical integral and view the method steps.
Info
This tool computes derivatives and integrals using numerical (approximate) methods rather than symbolic closed-form solutions. It is ideal for quick estimation when the function is complex or an analytic solution is difficult. Numerical derivative: - Approximates the rate of change of the function at a selected point - Methods such as forward difference, backward difference, and central difference can be used Numerical integral: - Approximates the area over the interval [a, b] - Methods such as rectangle, trapezoidal, or Simpson's rule can be used Tips for better accuracy: - If the step size (h) is too large, the error increases - If the step size (h) is too small, rounding errors may grow - Trapezoidal/Simpson methods are often more accurate than simpler methods Note: Numerical results are approximate; for sensitive applications, choose the step count and method carefully.
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