If y=sqrtx "cosec"^(-1) ((1)/(4x)),"then...

If `y=sqrtx "cosec"^(-1) ((1)/(4x)),"then "dy/dx=`

A

` (sin ^(-1) 4x ) /( 2sqrtx)+ (4sqrt( x))/( sqrt(1- 16x^(2)))`

B

` (sin ^(-1) 4x ) /( 2sqrtx)+ (2sqrt( x))/( sqrt(1- 16x^(2)))`

C

` (sin ^(-1) 4x ) /( 2sqrtx)- (4sqrt( x))/( sqrt(1- 16x^(2)))`

D

` (sin ^(-1) 4x ) /( 2sqrtx)- (2sqrt( x))/( sqrt(1- 16x^(2)))`

Verified by Experts

The correct Answer is:

A

Differential Equation
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