A) Decreasing
B) Increasing
C) Neither increasing nor decreasing
D) Increasing for x > 0 and decreasing for x < 0
Correct Answer: A
Solution :
\[f(x)={{5}^{-x}}\] Þ\[f'(x)=-{{5}^{-x}}{{\log }_{e}}5=-\frac{{{\log }_{e}}5}{{{5}^{x}}}\] Þ \[f'(x)<0\] for all \[x\] i.e., \[f(x)\] is decreasing for all \[x.\]You need to login to perform this action.
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