The function \(y=f(x)\) has a relative minima where

\(f(x)=0\) and \(f^{\prime}(x)<0\) \(f^{\prime}(x)=0\) and \(f^{\prime \prime}(x)>0\) \(f^{\prime}(x)=0\) and \(f^{\prime}(x)>0\) \(f^{\prime}(x)=0\) and \(f^{\prime}(x)<0\)

\(f^{\prime}(x)=0\) and \(f^{\prime \prime}(x)>0\)

Definition of relative minima