discuss the monotonicity of the function x raise to power x ,(x>0)
Asked by imanumaan | 23rd Nov, 2009, 04:53: PM
Expert Answer:
Let y =x x
Taking log we have
log y = x log x
dy/dx = y(1+log x) =xx (1+log x) which is greater than 0 for all values of x>0
so x x is monotonically increasing function
Answered by | 24th Nov, 2009, 09:55: AM
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