Mathematics · important
Absolute maxima and minima on closed interval for JEE
Applications of derivatives: Rate of change of quantities, monotonic-Increasing and decreasing functions, Maxima and minima of functions of one variable
Formula
\[\text{On }[a,b],\ \text{absolute extrema occur among }a,b\text{ and critical points in }(a,b)\]
Conditions: Function should be continuous on \([a,b]\).
Optimization on a finite interval.