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If y = sqrt (sinx), then dy/dx =...

If `y = sqrt (sinx)`, then dy/dx =

A

`(cosx)/(2sqrtsinx)`

B

`(sinx)/(2 xsqrt sin x)`

C

`(cos x)/(sqrt sin x)`

D

`(2 cos x)/(sqrt sin x)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If y = log sqrt (sinx) , then dy/dx =

    A
    `(cosx)/(sqrtsinx)`
    B
    1/2 (cot x)
    C
    1/2 (tan x)
    D
    `sqrt( sin x cosx)`
  • If y = sqrt(asqrtx) then, dy/dx =

    A
    1y/2 x
    B
    `(a^(sqrtx)loga)/(2y sqrtx)`
    C
    `(a^(sqrtx)log a)/(4y sqrtx)`
    D
    `(a^(sqrtx)log a)/(y sqrtx)`
  • If y = sqrt(cot x) , then dy/dx =

    A
    `(cosec^(2)x)/(2 sqrt cot x)`
    B
    `(cosec^(2)x)/(sqrt cot x)`
    C
    `1/(2sqrt cos x)`
    D
    none of these
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