Word problem that I can not set up; presumably it involves implicit differentiation.

[bkbowser]

The quantity of charge Q in coulombs (C) that has passed
through a point in a wire up to time t (measured in seconds) is
given by Q(t)=t^3 - 2t^2 +6t + 2. Find the current when
(a) t = 0.5*s and (b) t = 1*s. [See Example 3. The unit of cur-
rent is an ampere (1 A = 1 C͞/s).] At what time is the current
lowest?

I'm not even really sure how to go about setting this up. All I know is that I'm some how supposed to use implicit differentiation at some point.

 

[Unknown008]

Well, I know that \(\displaystyle I = \dfrac{dQ}{dt}\)

So, I'd just have differentiated the equation and solve for I, the current, at the given values of t.

 

[HallsofIvy]

Is "s" just "seconds"? Since you are given Q as an explicit function of t, there is no "implicit" differentiation required- just differentiate, then set t equal to the given value.