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Find the rate of change of output with respect to time, if the production function is Q=A(t)K(alpha)L(beta), where A(t) is an increasing function of t,

Find the rate of change of output with respect to time, if the production function is Q=A(t)K(alpha)L(beta), where A(t) is an increasing function of t, and K=K0 + alpha t and L=L0 + beta t.

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