The function $\text{⨍ }\left(\mathrm{x}\right)\text{=}\left[{\mathrm{x}}^2\right]\text{+}{\left[-\mathrm{x}\right]}^2\text{,}$ where $\left[.\right]$ denotes the greatest integer function, is

continuous and derivable at $\mathrm{x}=2$

neither continuous nor derivable at $\mathrm{x}=2$

continuous but not derivable at $\mathrm{x}=2$

differentiable but not continuous at $\mathrm{x}=2$