← Playground
02
Calculus
Three views of the same idea: what a function looks like, how fast it is changing, and how much area it sweeps out. Everything is driven by dragging — no Calculate button anywhere.
Pick a family, drag its parameters, and watch the shape and every derived quantity move together.
FUNCTION
f(x)=x² - 2x - 1
f'(x)=2x - 2
PARAMETERS
Zoom
±6
Drag a slider and the curve, the marked points and every value below move with it — f(0) = -1 right now.
LIVE PROPERTIES
- Roots
- x = -0.41 and x = 2.41
- Vertex
- (1, -2)
- Axis of symmetry
- x = 1
- y-intercept
- (0, -1)
- Discriminant
- b² - 4ac = 8
- Opens
- upwards (minimum)