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calculus problem

The weight of a great white shark, W pounds, is given approximately by W=0.6x^3, where x is the length of the shark in feet. Suppose that a baby shark is growing at the rate of dx/dt= 0.4 ft/day
 
a.) How heavy is the shark when it's 2 ft long?
 
b.) At what rate is it gaining weight (pounds per dat) when it is 2 feet long? 10 feet long?
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1 Answer

a) W = 0.6*2^3 = 0.6*8 = 4.8
 
 
b)   dW/dt = 3*0.6*x^2 *dx/dt
 
               x = 2 --->  3 ( 0.6)*2^2 * (0.4) = 2.88
 
                x=10 --->  3(0.6)*10^2 * (0.4) = 72