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If y=x^(x^(2)), then (dy)/(dx) equals...

If `y=x^(x^(2)),` then `(dy)/(dx)` equals

A

`(2 log x+1)x^(x^(2)-1)`

B

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

C

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

D

`(2 log x-1)x^(x^(2)+1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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