$3\mathrm{.}10$ #$4$ the voltage V $($volts$),$ current I $($amperes$),$ and resistance R $($ohms$)$ of an electric circuit like the one shown here are related by the equation $V=IR.$ Suppose that V is increasing at the rate of $6$ volt$/$sec while I is decreasing at the rate of $\frac{1}{2}$ amp$/$sec$.$ Let t denote time in seconds. Answer the following questions.

a$.$ What is the value of $\frac{dV}{dt}?$

$\frac{dV}{dt}=$ volt$/$sec $($Simplify your answer.$)$