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If y=u//v," where "u,v," are differentia...

If `y=u//v," where "u,v," are differentiable functions of x and "vne0," then: "u(dv)/(dx)+v^(2)(dy)/(dx)=`

A

`(du)/(dv)`

B

`v(du)/(dx)`

C

`(du)/(dx)*(dv)/(dx)`

D

`(dv)/(du)`

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Knowledge Check

  • If u=3x^(12) and v=x^(6) then (du)/(dv) is

    A
    `6x^(6)`
    B
    `36x^(11)`
    C
    `6x^(5)`
    D
    `3x^(6)`

  • int(u(v(du)/(dx)-u(dv)/(dx)))/(v^(3))dx=

    A
    `log((u)/(v))+c`
    B
    `(u^(2)v^(2))/(2)+c`
    C
    `(u^(2))/(2v^(2))+c`
    D
    `(u)/(2v)+c`

  • If : (dx)/(dy)=u" and "(d^(2)x)/(dy^(2))=v," then: "(d^(2)y)/(dx^(2))=

    A
    `-(v)/(u^(2))`
    B
    `(v)/(u^(2))`
    C
    `-(v)/(u^(3))`
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