Question: Learning. A new worker on the production line performs an operation in T minutes after x performances of the operation, as given by \(T=2\left( 1+\frac{1}{{{x}^{3/2}}} \right)\). If, after performing the operation 9 times, the rate of improvement is dx/dt = 3 operations per hour, find the rate of improvement in time dT/dt in performing each operation.