Level 1: Trig Synthesis

Drag to match the outer and inner derivatives using the Chain Rule.

Find the derivative of:
Outer
Inner

Level 2: Inverse Artifacts

Tap to build the derivative formula for the inverse trig function.

Find the derivative of:

Level 3: Exponential Scaling

Drag point to scale the derivative. It's proportional to the original function!

Function:
Derivative:
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The derivative of is .
Drag the pink handle up or down until the curve matches the exact derivative.

Level 4: Logarithmic Alignment

Tap arrows to align the tumblers and form the correct derivative.

Find the derivative of:
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Master Alchemist!

You've successfully synthesized all the advanced derivatives.