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

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

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If y= log ((1- x^(2))/(1+ x^(2))) , then (dy)/(dx) is equal to

    A
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    B
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    C
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    A
    `(4x^(3))/(1-x^(4))`
    B
    `(-4x)/(1-x^(4))`
    C
    `(1)/(4-x^(4))`
    D
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