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If y =sqrt(a^(2) + sqrt( a^(2)+ x^(2)) ...

If y ` =sqrt(a^(2) + sqrt( a^(2)+ x^(2)) ),then (dy)/(dx) =`

A

` (ax) /( 4sqrt ( a^(2) + x^(2)) sqrt(a^(2) + sqrt a^(2)+x^(2)))`

B

` (ax) /( 2sqrt ( a^(2) + x^(2)) sqrt(a^(2) + sqrt a^(2)+x^(2)))`

C

` (x) /( 4sqrt ( a^(2) + x^(2)) sqrt(a^(2) + sqrt a^(2)+x^(2)))`

D

` (x) /( 2sqrt ( a^(2) + x^(2)) sqrt(a^(2) + sqrt a^(2)+x^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
D
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