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) \(\frac { \mathrm { ds } } { \mathrm { dt } } = \mathrm { t } - 1 ; \frac { \mathrm { ds } } { \mathrm { dt } } \mid \mathrm { t } = 0 = - 1\)

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