G07 // Cartesian Plane & Functions
Complete Function Analysis & Rolle, Lagrange (MVT), and Cauchy Theorems on [a, b]
Editable vector diagram for full calculus curve sketching (local extrema, inflection points, asymptotes, jump discontinuities) and geometric visualization of Rolle's and Mean Value Theorems.
Key formulas & geometric relations
f'(c) = [f(b) − f(a)] / (b − a) · Rolle: f(a) = f(b) ⇒ f'(c) = 0 · f'(x) = 0 , f''(x) = 0