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(d^2x)/(d y^2) equals...

`(d^2x)/(d y^2)` equals

A

`((d^(2)y)/(dx^(2)))^(-1)`

B

`-((d^(2)y)/(dx^(2)))^(-1)((dy)/(dx))^(-3)`

C

`((d^(2)y)/(dx^(2)))((dy)/(dx))^(-2)`

D

`-((d^(2)y)/(dx^(2)))((dy)/(dx))^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
d
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Knowledge Check

  • If x= t^(2) and y= t^(3) , then (d^(2)y)/(dx^(2)) is equal to

    A
    `(3)/(2)`
    B
    `(3)/(4t)`
    C
    `(3)/(2t)`
    D
    `(3t)/(2)`

  • If x= t^(2) and y= t^(3) , then (d^(2)y)/(dx^(2)) is equal to

    A
    `(3)/(2)`
    B
    `(3)/(4t)`
    C
    `(3)/(2t)`
    D
    `(3t)/(2)`

  • If x="at"^(2),y=2"at" , then (d^(2)x)/(dy^(2))= . . . .

    A
    `-2at^(3)`
    B
    `(-1)/(t^(2))`
    C
    `(-1)/(2at^(3))`
    D
    `(1)/(2a)`

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