ugh, optimazation...

Quote:

Originally Posted by purplegirl1818

i just have issues with the algebra, i can take the derivative, but then im stuck. thanks for any help in advance!

An electric current, https://instruct.math.lsa.umich.edu/...f4c6516231.png, in amps, is given by
https://instruct.math.lsa.umich.edu/...bdffc4aa61.png

where https://instruct.math.lsa.umich.edu/...bcb72f7071.png is a constant. What are the maximum and minimum values of I?

Solve dI/dt = 0.

Show all the work you've done and where you get stuck.

By the way, there's also a non-calculus way of doing this that involves re-writing the expression for current as $I = A \cos (\omega t + \phi)$ .