Calculate the Derivative of the Function $\frac { \mathrm { ds } } { \mathrm { dt } } \mid \mathrm { t } = 0$

question 90

Multiple Choice

Calculate the derivative of the function. Then find the value of the derivative as specified.
- $\frac { \mathrm { ds } } { \mathrm { dt } } \mid \mathrm { t } = 0$ 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) \(\frac { \mathrm { ds } } { \mathrm { dt } } = 2 \mathrm { t } - 1 ; \left. \frac { \mathrm { ds } } { \mathrm { dt } } \right| _ { \mathrm { t } = 0 } = - 1\)
• D) \(\frac { \mathrm { ds } } { \mathrm { dt } } = \mathrm { t } - 1 ; \frac { \mathrm { ds } } { \mathrm { dt } } \mid \mathrm { t } = 0 = - 1\)

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