Slopecraft
Sketch the derivative of a function by hand and watch it graded live, then flip the problem and build a valid antiderivative.
How to play
Phase one shows f(x); you drag across the lower graph to sketch its derivative, with sign, zeros and concavity scored against the exact answer in real time. Phase two shows a derivative g(x); you pick which antiderivative family fits and set the +C offset so its slope matches g.
- Drag to draw f'(x), matching where it is positive, negative and zero
- Live feedback grades sign, zeros and concavity as you draw
- Submit, then choose the correct antiderivative shape for the given derivative
- Set the +C offset and check that your G' equals g(x)
Game modes
- Daily: a fixed function shared each day
- Practice: fresh randomized rounds
Controls
- Desktop: drag on the lower graph to sketch; click the shape buttons and drag the +C slider
- Phone & tablet: drag across the graph to draw the derivative and tap the antiderivative options
Tips & strategy
- Where f peaks or bottoms out, its derivative crosses zero — anchor your sketch on those turning points
- For the antiderivative, the +C only shifts the curve up or down; match the shape first, then slide C
What you'll learn
Slopecraft links a function to its derivative and back, building the core intuition of calculus.
- Skills: derivatives, calculus, the function–slope relationship
- Best for: roughly grades 11–12 (and college)
- For parents & teachers: a function and its derivative.
About Slopecraft
Slopecraft is an original free browser calculus game that links a function to its derivative and back again, building visual intuition for slope, concavity and the constant of integration.
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