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If y=10^(10^(x)), then the value of (dy)...

If `y=10^(10^(x))`, then the value of `(dy)/(dx)` is -

A

`10^(10^(x))*(log_(e)10)^(2)`

B

`10^(10^(x))*log_(e)10`

C

`10^(10^(x))*10^(x)*log_(e)10`

D

`10^(10^(x))*10^(x)*(log_(e)10)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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