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Consider the following function on the given interval. \[ f(t)=t-\sqrt[3]{t}, \quad[-1,7] \] Find ...
Consider the following function on the given interval. \[ f(t)=t-\sqrt[3]{t}, \quad[-1,7] \] Find the derivative of the function. \[ f^{\prime}(t)= \] Find any critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) \[ t= \] Find the absolute maximum and absolute minimum values of \( f \) on the given interval. absolute minimum value absolute maximum value