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If x = 3 tant and y = 3 sec t, then the ...

If x = 3 tant and y = 3 sec t, then the value of `(d^2y)/(dx^2)" at" t=pi/4` is

A

`3/(2sqrt2)`

B

`1/(3sqrt2)`

C

`1/6`

D

`1/(6sqrt2)`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If y=2^(3-2x) , then the value of (d^2y)/(dx^2) is-

    A
    `4y(log_e2)^2`
    B
    `2y(log_e2)^2`
    C
    `-4y(log_e2)^2`
    D
    `4y(log_(e)2)`

  • If y=root3(x^2) then the value of (d^2y)/(dx^2) is-

    A
    `2/9x^(-4/3)`
    B
    `-2/9x^(-4/3)`
    C
    `-2/3x^(-4/3)`
    D
    `2/3x^(-4/3)`

  • If x=2 cos t+cos 2t and y=2 sin t-sin2t , then the value of (dy)/(dx) at t=(pi)/(4) is -

    A
    `-(sqrt(2)+1)`
    B
    `sqrt(2)`
    C
    `sqrt(2)-1`
    D
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