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If y=root3(x^2) then the value of (d^2y)...

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)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • If y^2=4ax then the value of (d^2y)/(dx^2) is-

    A
    `-4a^2y^-3`
    B
    `4ay^3`
    C
    `-2ay`
    D
    `2ay^-2`

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

    A
    `2sec^2x`
    B
    `sec^3x`
    C
    `2sec^2xtanx`
    D
    `sec^2xtanx`

  • 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)`

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