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Consider the following function on the given interval. $f(t)=2cos(t)+sin(2t),[0,2π ]$ Find the derivative of the function. $f_{′}(t)=$ 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

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