Mathematics

Mathematics

Problem

The derivative of a function hh is undefined at x=5x=5. For x<5x<5, h′(x)>0h'(x)>0, and for x>5x>5, h′(x)<0h'(x)<0. Identify (i) the open interval(s) on which hh is decreasing and (ii) whether x=5x=5 is a critical number of hh.

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