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If y=sin^(-1)x+cos^(-1)x " then " (dy)/(...

If `y=sin^(-1)x+cos^(-1)x " then " (dy)/(dx)` is

A

1

B

`pi`

C

`pi/2`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If y = cos ( sin x^(2)) , " then " ( dy)/( dx) at x = sqrt( ( pi)/(2)) is

    A
    `-2`
    B
    2
    C
    ` - 2 sqrt((pi)/( 2))`
    D
    0

  • If y = 2^(-1/x) then dy/dx is:

    A
    `-1/x2^(-1/x-1)`
    B
    `2^(-1/x)(log2)`
    C
    `(2^(-1/x)(log2))/x^(2)`
    D
    `(2^(-1/x)/x^(2)`

  • (i)If y = x^(3) + x^(2) + x +1 then dy/dx at x = 1 is 0 (ii)If y=sin^(-1)((2x)/(1+x^(2))) then dy/dx = tanx (iii) y = x^(x) dy/dx = x^(x)[1+logx] (iv) y = tan^(-1)x, dy/dx = 1/(1 + x^(2) state which pair of the statement given above are true.

    A
    (i) and (ii) are true
    B
    (ii) and (iv) are true
    C
    (iii) and (iv) are true
    D
    (i) and (iv) are true

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    If x=sqrt(a^(sin^(-1)t)), y= sqrt(a^(cos^(-1)t)) , show that (dy)/(dx)= -(y)/(x) .

    If y = sin x - cos x then find dy/dx

    (dy)/(dx)=sin (x+y)

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