f · f′ · ∫ — drawn together

📈 Derivative & Integral

Type f(x) with sin, cos, exp, ln, sqrt, powers… and see f and its derivative plotted together, drag the tangent point along the curve, and get the definite integral on [a,b] shaded and computed by Simpson's rule.

f(x) =

x from

Tangent at x₀

Definite integral ∫ f dx

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Supported: + − * / ^, sin cos tan asin acos atan, exp ln log (base 10) sqrt abs, constants pi and e, implicit multiplication (2x, x sin(x)). Derivative is numeric (central difference), integral is composite Simpson with 400 slices — plenty for smooth functions.