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If y =10^(x^(x) ) +x^(x^(10)) +x^(10^(x...

If ` y =10^(x^(x) ) +x^(x^(10)) +x^(10^(x) ) ,then (dy)/(dx) `

A

` 10 ^(x^(x)) x^(x) (1+log x )+x^(x^(10)) x^(9) (1+10log x ) +x^(10x) 10^(x)((1)/(x) +log 10*log x ) `

B

` 10 ^(x^(x)) x^(x)log 10 (1+log x )+x^(x^(10)) x^(9) (1+10log x ) +x^(10x) 10^(x)((1)/(x) +log 10*log x ) `

C

` 10 ^(x^(x)) x^(x)log 10 (1+log x )+x^(x^(10)) x^(9) (1+10log x ) +x^(10x) 10^(x)((1)/(x) +log 10*log x ) `

D

` 10 ^(x^(x)) x^(x)log 10 (1+log x )+x^(x^(10)) x^(9) (1+10log x ) +x^(10x) 10^(x)((1)/(x) +log (10 x )) `

Text Solution

Verified by Experts

The correct Answer is:
C
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