• # question_answer Let $f(x)=\,\left\{ \begin{matrix} |x|, & \text{for}\,\,0<\,|x|\,\le 2 \\ {} & \text{for}\,x=0 \\ \end{matrix} \right.$. Then at $x=0,$ f has A)  a local maximum        B)  no local minimum C)  a local minimum         D)  no extremism

${{\rho }_{S}}$ Clearly from the graph ${{\rho }_{P}}$ has point of local maxima at $-h=-u{{t}_{1}}+\frac{1}{2}gt_{1}^{2}$.