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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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