Find the indicated derivative.
-$\frac { d v } { d t }$ if $v = t + \frac { 8 } { t }$
A) $1 - \frac { 8 } { t ^ { 2 } }$
B) $1 + \frac { 8 } { t ^ { 2 } }$
C) $1 - \frac { 8 } { t }$
D) $t - \frac { 8 } { t ^ { 2 } }$

Question

Quizplus · Accepted Answer

The derivative of $v = t + \frac { 8 } { t }$ with respect to $t$ is found by applying the power rule. The derivative of $t$ is $1$, and the derivative of $\frac { 8 } { t }$ is $-\frac { 8 } { t ^ { 2 } }$, leading to $1 - \frac { 8 } { t ^ { 2 } }$.

Find the Indicated Derivative dvdt\frac { d v } { d t }dtdv​

Find the Indicated Derivative $\frac { d v } { d t }$