Rates of change · manipulative

Implicit differentiation

When a curve is given as F(x, y) = c, differentiate both sides: Fₓ + Fᵧ y′ = 0. Drag the point — the tangent’s slope is −Fₓ/Fᵧ.

curve tangent

Drag the point along the curve · scroll zoom · drag background to pan

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