Calculate the Derivative of the Function $$\frac { \mathrm { ds } } { \mathrm { dt } } \mid \mathrm { t } = 0 \text { if } \mathrm { s } = \mathrm { t } ^ { 2 } - \mathrm { t }$$

question 421

Multiple Choice

Calculate the derivative of the function. Then find the value of the derivative as specified.
- $$\frac { \mathrm { ds } } { \mathrm { dt } } \mid \mathrm { t } = 0 \text { if } \mathrm { s } = \mathrm { t } ^ { 2 } - \mathrm { t }$$

• A) \(\frac { \mathrm { ds } } { \mathrm { dt } } = 2 \mathrm { t } + 1 ; \frac { \mathrm { ds } } { \mathrm { dt } } \mid \mathrm { t } = 0 = 1\)
• B) \(\frac { \mathrm { ds } } { \mathrm { dt } } = 2 - \mathrm { t } ; \frac { \mathrm { ds } } { \mathrm { dt } } \mid \mathrm { t } = 0 = 2\)
• C) \(\frac { \mathrm { ds } } { \mathrm { dt } } = 2 \mathrm { t } - 1 ; \frac { \mathrm { ds } } { \mathrm { dt } } \mid \mathrm { t } = 0 = - 1\)
• D) \(\frac { \mathrm { ds } } { \mathrm { dt } } = \mathrm { t } - 1 ; \frac { \mathrm { ds } } { \mathrm { dt } } \mid \mathrm { t } = 0 = - 1\)

---

Definitions:

Slavery

A system in which individuals are owned as property by others and are forced to work without consent and with little to no personal freedom.

Black Rights

Refers to the rights and freedoms specifically pertaining to Black individuals, often encompassing issues of civil rights, social justice, and equality.

Haitian Revolution

A successful slave rebellion that began in 1791, leading to the establishment of Haiti as an independent nation in 1804, the first to abolish slavery.

Black Republic

A term that could refer to nations governed by people of African descent, often prominent in discussions of Haiti post its successful slave revolution.