Please show all work in how to solve attached problems. Thank you.

Find the crltfcal numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x)=x3+6x2135x FInd the critIcal numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) gm = I3t- an Frnd the crltfcal numbers of the function. {Enter your answers as a comma-separated Ifst. If an answer does not exist, enter DNE.) J: h = (P) p2+2 Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x) = r? Inpr) "S Find the abselute maximum and abselute minimum values of fan the given interval. x} = 3 + 31x - 3x3, [1], 4] absolute minimum value abselute maximum value Does the function satisfy the hypotheses of the Mean value Theorem on the given Interval? f0!) = MK). [1. 3] C: Yes, it does not matter If fis continuous or differentiable, every function satises the Mean Value Theorem. (j: Yes, I' is continuous on [1, 3] and differentiable on (1, 3). C- No, fls not continuous on [1, 3]. C: No, fls continuous on [1, 3] but not differentiable on (1, 3). C- There Is not enough information to verify If this function satises the Mean Value Theorem. If it satises the hypotheses, find all numbers c: that satisfy the conclusion ofthe Mean Value Theorem. (Enter your answers as a oomrna-separated list. If it does not satisfy the hypotheses, enter DNE). C=