Qualitative Curve Sketcher MIT 18.01

Single Variable Calculus Lecture 10: Direct Geometric Curve Sculpting
💡 Drag landmark handles (★ Extrema, ⬍ Asymptotes, ◆ Concavity) to sculpt the curve without calculating points.
Target Calculus Function
f(x) = (x² - 1) / (x² - 4)
Theoretical Derivative Sign Chart
f'(x)
f''(x)
User Sculpted Curve (Direct Spline)
Vertical / Horizontal Asymptotes
Extrema / Inflection Landmark Handles
Calculus Profile Check
100%
Qualitative Score
1.00
Asymptote Fidelity
1.00
Concavity Accuracy
0.98
Extrema Fidelity
Perfect Qualitative Topology Match!