Given P=Ri^2. If R=100Ohms and i varies according to i=t^2+3t, find the rate of change of the power with respect to time when t=2 seconds.

2. Originally Posted by navynukejones
Given P=Ri^2. If R=100Ohms and i varies according to i=t^2+3t, find the rate of change of the power with respect to time when t=2 seconds.
$\frac{dP}{dt} = R~\frac{d}{dt} (t^2 + 3t)^2$

$= R~[2(t^2 + 3t) \cdot (2t + 3)]$

I'll leave it for you to simplify this.

-Dan