"MAT 125 Fall 2023 Homework X ChatGPT X Course Hero C webassign.net/web/Student/Assignment-Responses/submit?dep=33269815&tags=autosave#question5213810_10 local minimum value 2 Need Help? Read It Submit Answer 10. [0.75/1 Points] DETAILS PREVIOUS ANSWERS SCALCCC5 4.2.055.EP. MY NOTES Consider the following function on the given interval. f(t) = 2 cos(t) + sin(2t), Find the derivative of the function. f'(t) = -2 sin(t) + 2 cos( 2t) Find any critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Find the absolute maximum and absolute minimum values of f on the given interval. absolute minimum value 0 3V3 absolute maximum value 2 Need Help? Read It Submit Answer"MAT 125 Fall 2023 Homework X ChatGPT Homework Help - Q&A from O x + C webassign.net/web/Student/Assignment-Responses/submit?dep=33269815&tags=autosave#question5213810_10 1. [0.52/1 Points] DETAILS PREVIOUS ANSWERS SCALCCC5 4.3.021. MY NOTES PRACTICE ANOTHER Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 - 50x2+7 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) (-5,0), (5,00 ) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (-00, - 5), (0,5) (b) Find the local maximum and minimum values of f. local minimum value -619 X local maximum value 7 (c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.) ( x, y ) = -5V3 3071 3 9 X ( x, y ) = 5V3 3071 3 9 Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down. (Enter your answer using interval notation.) 5V3 5V3 3 3