Drag to differentiate

Build the derivative sequence

Drag the correct expressions into the machine slots.

Base Function:
Drop here
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Tap to link

Kinematics Matching

Connect the physical concept to its correct mathematical expression.

Position:
Slide to bend

Control the Concavity

The sign of determines if the curve bends up or down.

Task 1: Make it Concave UP! (Hold water) Task 2: Make it Concave DOWN! (Spill water) check_circle

{{ s3.a > 0 ? '🙂' : (s3.a < 0 ? '☚ī¸' : '😐') }}
Function
2nd Derivative
Negative (a < 0) Zero Positive (a > 0)
Tap to build

Compute the Derivatives

Tap terms to build the correct equations step-by-step.

Start:
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Select terms

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Mastery Achieved!

You've successfully built derivative sequences, linked kinematics, and controlled concavity.

Key Takeaway