Function Derivative & Integral Chart Calculator
Plots a function with its derivative and integral.
Info
This tool teaches and calculates 3 things at once: 1) Function Graph - Samples f(x) over the selected range and plots the graph. - If axes include 0, the graph shows all 4 quadrants (I–IV). 2) Derivative (slope at x0) - The derivative is the slope of the tangent line drawn on the graph. - Approximate derivative (central difference): f'(x0) ≈ ( f(x0+h) - f(x0-h) ) / (2h) - h is chosen automatically (small value). 3) Integral / Area (shaded a–b region) - ∫ f(x) dx is the "signed area" of the curve with respect to the x-axis. - If f(x) is above the x-axis, the contribution is +; if below, it is –. - Numerical integral (trapezoid rule): Area ≈ Σ (f(x_i) + f(x_{i+1})) / 2 × Δx Accepted expression examples: - x^2 + 2x - 1 - sin(x), cos(x), tan(x) - abs(x), sqrt(x) - log(x) (natural log), exp(x) - pi, e Tip: - If there are undefined points (e.g., log(x) for x≤0), the graph automatically leaves those regions blank.
Other calculators you might like
Calculates VAT and total based on VAT-inclusive or exclusive amounts.
Calculates the neutralization status, remaining concentration, and pH when acid and base solutions are mixed.
Calculate required grass seed amount in lbs, kg, oz and grams based on area and application type. Suitable for new lawns, overseeding, high-traffic areas and shade-tolerant use cases.
Calculate curvature drop, horizon distance, hidden height and additional spherical geometry values for a given distance.