Estimate $\left. \frac { \mathrm { d } s } { \mathrm {~d} t } \right| _ { t = 1 }$ of the function $s = 2 t + t ^ { 2 }$ .
A)4
B) 3
C) 6
D) 9
E) 1

Name: Estimate $\left. \frac { \mathrm { d } s } { \mathrm {~d} t } \right| _ { t = 1 }$ of the function $s = 2 t + t ^ { 2 }$ . A)4 B) 3 C) 6 D) 9 E) 1
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Question

Estimate $\left. \frac { \mathrm { d } s } { \mathrm {~d} t } \right| _ { t = 1 }$ of the function $s = 2 t + t ^ { 2 }$ .  
A)4
B) 3
C) 6
D) 9
E) 1

Quizplus · Accepted Answer

The derivative of $s = 2t + t^2$ with respect to $t$ is $ds/dt = 2 + 2t$. Evaluating this at $t = 1$ gives $2 + 2(1) = 4$.

Estimate ds dt∣t=1\left. \frac { \mathrm { d } s } { \mathrm {~d} t } \right| _ { t = 1 } dtds​​t=1​

Estimate $\left. \frac { \mathrm { d } s } { \mathrm {~d} t } \right| _ { t = 1 }$