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Find y''(xx) if: (a) arc tan y-y+c =...

Find `y''_(xx)` if:
`(a) arc tan y-y+c =0`
(b) `e^(x)-e^(y)=y-x`
(c )` x+y=e^(x-y)`

Answer

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Knowledge Check

  • If x^(y)=e^(x-y) then

    A
    `(dy)/(dx)` doesn't exist at x = 1
    B
    `(dy)/(dx)=0` when x = 1
    C
    `(dy)/(dx)=(1)/(2)` when x = e
    D
    none of these
  • If e^(x)+e^(y)=e^(x+y)" then "y_(1)=

    A
    `e^(x-y)`
    B
    `-e^(x-y)`
    C
    `-e^(-y-x)`
    D
    `-e^(y-x)`
  • If e^(x) +e^(y) =e^(x+y),then (dy)/(dx)=

    A
    ` e^(x-y) ((1-e^(y))/( 1-e^(x)) ) `
    B
    ` -e^(x-y) ((1-e^(y))/( 1-e^(x)) ) `
    C
    ` e^(y-x) ((1-e^(y))/( 1-e^(x)) ) `
    D
    `- e^(y-x) ((1-e^(y))/( 1-e^(x)) ) `
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