What are the values of ‘a’ for which f(x) = ax is increasing on R?

f(x) = ax


f’(x) = ax log a


f(x) is increasing on R.


f’(x) > 0


ax log a > 0


Logarithmic function is defined for positive values of a.


a > 0


ax > 0


ax log a > 0


It can be possible when log ax > 0 & log a > 0 or ax < 0 & log a < 0.


log a > 0


a > 1


Hence, f(x) is increasing when a > 1.


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