You roll two marbles on a flat surface at time t = 0. The position of the first marble can be described by the parametric functions: y(t) = 3(√(t/2)) + 1 and x(t) = 2t. The position of the second marble can be described by the parametric functions: y(t) = 2^t and x(t) = t^2. The marbles will meet at two distinct times. Evaluate the first derivative of the first marble at the first time and the second derivative of the second marble at the second time.

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