$$h ( t ) = \frac { d ^ { 2 } f ( t ) } { d t ^ { 2 } }$$

Essay

$$\text { Let } \mathrm { f } ( \mathrm { t } ) = 2 \mathrm { u } ( \mathrm { t } ) - 2 \mathrm { u } ( \mathrm { t } - 6 ) \text {. Find the one-sided Laplace transform of } \mathrm { f } ( \mathrm { t } ) , g ( t ) = \frac { d f ( t ) } { d t } \text {, and }$$ $$h ( t ) = \frac { d ^ { 2 } f ( t ) } { d t ^ { 2 } }$$