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If y=tan^(-1)((1-cosx)/(sinx)), then (dy...

If `y=tan^(-1)((1-cosx)/(sinx)),` then `(dy)/(dx)` is

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(i) If y=(cosx)^(sinx) , then find (dy)/(dx) . (ii) If y=(sinx)^(sinx) , then find (dy)/(dx) .

If y=x^(sinx)+(sinx)^(cosx) then find (dy)/(dx) .

Knowledge Check

  • If y=(tan^(-1)x)^(2) then (dy)/(dx) is equal to:

    A
    `2tan^(-1)x`
    B
    `(2tan^(-1))/(1+x^(2))`
    C
    `-(2tan^(-1)x)/(1+x^(2))`
    D
    `(tan^(-1)x)/(1+x^(2))`

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    If (cosx)^(y)=(siny)^(x), then find (dy)/(dx) .

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    If y=(sinx)/(1+cosx) , then value of (dy)/(dx) is:

    If y=(sinx)^(cosx) , then find (dy)/(dx) .

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