Mathematics · important
Necessary condition for interior extremum for JEE
Applications of derivatives: Rate of change of quantities, monotonic-Increasing and decreasing functions, Maxima and minima of functions of one variable
Formula
\[f\text{ differentiable and has local extremum at interior point }a\Rightarrow f'(a)=0\]
Conditions: Applies to interior points where differentiability holds.
Theory questions and locating candidates for extrema.