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If y = sin^(-1) [(2^(x + 1))/(1 + 4^x)] ...

If `y = sin^(-1) [(2^(x + 1))/(1 + 4^x)]` find `(dy)/(dx)`.

Text Solution

Verified by Experts

The correct Answer is:
`(2^(x+1))/(1+4^(x))log_(e ) 2`
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Knowledge Check

  • If y = sin^(-1) [(1-x^(2))/(1+x^(2))] , then dy/dx =

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

  • If y = sin^(-1) ((1-x^(2))/(1+x^(2))) , then dy/dx =

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

  • If y = sin^(-1) ((1-x^(2))/(1+x^(2))) , then dy/dx =

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

    • Similar Questions

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    If 2x + 3y = sin x find (dy)/(dx) .

    If y = sqrt(((x-1)(x-2))/((x-3)(x-4)(x-5))) find (dy)/(dx)

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    If y= log sqrt((1+x cos x)/(1- x cos x))," find "(dy)/(dx) in simplified form.

    y = sin^(-1) x + sin^(-1)sqrt(1 - x^2), 0 lt x lt 1 find (dy)/(dx) .

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