Derivative graph matcher: f ↔ f′

Year 12 Mathematics Advanced · a turning point of f is a zero CROSSING of f′ · an inflection of f is a turning point of f′ · f′ never tells you a y-value of f
Direction
Curve

f is given above, build f′ below

f f′ your markers
Click in the lower pane to place a zero of f′ where f turns or pauses. Then set the sign of f′ on each interval.

Zeros of f′. Click the lower pane, or type an x and add. Each zero either crosses or touches the axis.

    Sign of f′ on each interval. Click to cycle ? → + → −.

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