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If y =1/sqrt(3x^(2) - 2x-1) then (dy)/(d...

If `y =1/sqrt(3x^(2) - 2x-1)` then `(dy)/(dx)` =?

A

`-2/3(3x-2) (3x^(2) -2x-1)^(-3/2)`

B

`-3/2(3x-2)(3x^(2)-2x -1)^(-3/2)`

C

`(3x-1)(3x^(2) -2x-1)^(-3/2)`

D

`-(3x-1)(3x^(2) -2x-1)^(-3/2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If y = log ((sqrt(1 + x^(2)) + x)/(sqrt(1 + x^(2)) -x)) " then " (dy)/(dx) = ?

    A
    `(2)/(sqrt(1 + x^(2)))`
    B
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    C
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    D
    none of these
  • If y=tan ^(-1) (sqrt( 1+x^(2))-x),then ( dy)/(dx)=

    A
    ` (2)/( 1+x^(2))`
    B
    ` (-2)/( 1+x^(2))`
    C
    ` (1)/( 2(1+x^(2))) `
    D
    ` (-1)/( 2(1+x^(2))) `
  • If y =sin ^(-1) sqrt((1+x^(2))/( 2) ),then (dy)/(dx) =

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