Optimization and modeling

[holmdeal]

A wave of wavelength traveling in deep water has speed, v, given by

where c and k are positive constants. As varies, does such a wave have a maximum or minimum velocity? If so, what is it? Explain.

I've been working for about two hours and have gotten virtually no where. Please help

 

[tkhunny]

Amongst that two hour struggle, did you find the first derivative and see if it is ever zero?