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A function f is defined by f(x)=|x|^m|x-...

A function `f` is defined by `f(x)=|x|^m|x-1|^nAAx in Rdot` The local maximum value of the function is `(m ,n in N),` `1` (b) `m^nn^m` `(m^m n^n)/((m+n)^(m+n))` (d) `((m n)^(m n))/((m+n)^(m+n))`

A

1

B

`m^(n).n^(m)`

C

`(m^(m).n^(n))/(m+n)^(m+n)`

D

`(mn)^(mn)/(m+n)^(m+n)`

Text Solution

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The correct Answer is:
C
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