The power, in amps, transmitted by a belt drive from a motor is given by the function P(v)= 100v - 3/16 v^3 .

Question

For what value of v is the power at a maximum value?

Thanks in advance!

Answer 1

At the maximum, P'(v) equals to zero.
P'(v) = 100-(3/16)(2v²) = 0.
Solve for v.