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If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a ...

If `y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1` is (a)`cospi/4` (b) `sinpi/2` (c)`sinpi/6` (d) `cospi/3`

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Knowledge Check

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

    A
    `x//(1+x^2)`
    B
    `x sqrt""(1+ x^2)`
    C
    `1// sqrt((1+x^2)`
    D
    `x//sqrt(1+x^2)`
  • If y=sec(tan^(-1)x) , then (dy)/(dx) at x=1 is equal to

    A
    `(1)/(sqrt2)`
    B
    `(1)/(2)`
    C
    1
    D
    `sqrt2`
  • If y= sec (tan^(-1) "" x ) then (dy)/(dx) at x=1 is equal to

    A
    `(1)/(sqrt(2))`
    B
    `1/2`
    C
    `sqrt(2)`
    D
    `1`
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