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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 g(x, y) = 3x^(2) - 5y + 2y^(2), x(t) = e^(t) and y(t) = cos t , then (dg)/(d t) is equal to

    A
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    B
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    D
    `3e^(2t) - 5 sin t + 4 cos t sin t`

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