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Derivative of (log x) ^(x) w.r.t log x ...

Derivative of ` (log x) ^(x) w.r.t log x ` is

A

(a) `x^2(logx)^x[log(logx)+1/(logx)]`

B

(b) `x(logx)^x[log(logx)+1/(logx)]`

C

(c) `x^3(logx)^x[log(logx)+1/(logx)]`

D

(d) `(logx)^x/x[log(logx)+1/(logx)]`

Text Solution

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The correct Answer is:
B
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