Topic testMath12 questions4 concepts

Calculus topic test

Start from slope on the graph itself, use one constrained rectangle bench to make a real maximum visible, keep limit and continuity behavior available on one target point, and then widen into signed area and accumulation so rate and total change stay connected on one visual branch.

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This first-pass topic test reuses the shared quiz engine, but it balances question selection across the included concepts so the topic is assessed as a broader branch instead of a single concept replay.

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Calculus topic test

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Math

Derivative as Slope / Local Rate of Change

Slide a point along one curve, tighten a secant into a tangent, and connect local steepness to the derivative graph without leaving the same live bench.

Open Derivative as Slope / Local Rate of Change Open concept test

Math

Limits and Continuity / Approaching a Value

Move one target-distance slider inward from both sides, compare the finite-limit guide with the actual point, and separate continuous, removable-hole, jump, and blow-up behavior on one graph-first bench.

Open Limits and Continuity / Approaching a Value Open concept test

Math

Optimization / Maxima, Minima, and Constraints

Move one rectangle width under a fixed 24 meter perimeter and watch height, area, and local slope respond together so the square maximum emerges from the same bench.

Open Optimization / Maxima, Minima, and Constraints Open concept test

Math

Integral as Accumulation / Area

Drag one upper bound across a source curve, watch signed area and the accumulation graph update together, and separate current source height from the running total.

Open Integral as Accumulation / Area Open concept test