The correct answer is (b) [ηP-DV]\(\frac{1}{W}\)=\(\frac{dH}{dt}\)
The best I can explain: The rate of climb is given by [ηP-DV]\(\frac{1}{W}\)=\(\frac{dH}{dt}\) where η is propeller efficiency, P is power, V is velocity, D is drag and W is weight and dH/dt is vertical velocity. The rate of climb is maximum when power speed is minimum.