I am praying that I am asked to prove any other theorem other than f'(x)>0 means f is increasing on some interval I, f'(x)<0 means f is decreasing on some interval I or f'(x)=0 means f is constant on some interval (a, b). Those theorems are so rediculous and I'm not sure how well I'll be able to prove them. I'm hoping I'm just asked to prove that
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