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If y = log x^(x) , then the value of ...

If ` y = log x^(x)` , then the value of ` (dy)/(dx) ` is

A

`x^(x) (1 + log x)`

B

`log (ex)`

C

`log ((e)/(x))`

D

`log((x)/(e))`

Text Solution

Verified by Experts

The correct Answer is:
B
Given , ` y = x log x `
On diferentiating both sides w.r.t.x, we get
`(dy)/(dx) = (x)/(x) + log x = loge + log x rArr (dy)/(dx) = log (ax)`
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