If a < 0, And f (x) = eax + e–ax is Monotonically Decreasing. Find The Interval To Which x belongs.   

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Question

If a < 0, and f (x) = eax + e–ax is monotonically decreasing. Find the interval to which x belongs.   

Solution

Correct option is

(x) is monotonically decreasing if x < 0

Given a < 0, and                                                      …(i) 

                   

  

                                          …(ii)

As from (i) a < 0 

Thus, (x) is monotonically decreasing if x < 0.  

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