University⏱ 4 min

Critical Points

Extrema and saddle points

○Not Started
MaxMinf(x)f′(x)
f(x)=x3−3x,f′(x)=3x2−3f(x) = x^3-3x, \quad f'(x) = 3x^2-3

Critical points are where f′(x)=0 (green zeros). If f″>0 → local min (green), f″<0 → local max (pink), f″=0 → inflection (orange).