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IF y=x^(x^(3)) +(x^(3)),then (dy)/(dx)=...

IF ` y=x^(x^(3)) +(x^(3)),then (dy)/(dx)=`

A

` x^(x^(3)) x^(2) (1+3logx )+ x^(3x) (1+log x)`

B

` x^(x^(3)) x^(2) (1+logx )+ 3x^(3x) (1+log x)`

C

` x^(x^(3)) x^(2) (1+logx )+ x^(3x) (1+log x)`

D

` x^(x^(3)) x^(2) (1+logx )+ 3x^(3x) (1+log x)`

Text Solution

Verified by Experts

The correct Answer is:
D
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