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If y=sec(tan^(-1)x)," then "(dy)/(dx)" a...

If `y=sec(tan^(-1)x)," then "(dy)/(dx)" at "x=1` is equal to-

A

`(1)/(sqrt(2))`

B

`(1)/(2)`

C

1

D

`sqrt(2)`

Text Solution

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Knowledge Check

  • If y=sec(tan^(-1)x) , then value of dy/dx at x=1 is

    A
    `1/2`
    B
    `1/sqrt2`
    C
    1
    D
    `sqrt2`

  • If y=tan^(-1)((sqrt(1+x^(2))-1)/(x)) and z=tan^(-1)((2x)/(1-x^(2))) , then (dy)/(dz) is equal to -

    A
    `(1)/(8)`
    B
    `(1)/(4)`
    C
    `(1)/(2)`
    D
    1

  • If y=tan^-1((sqrt(1+x^2)-1)/x) , then dy/dx at x = 0 is

    A
    `1/2`
    B
    `1/sqrt2`
    C
    1
    D
    0

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