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Differentiate sqrt(sin^(-1)sqrt(x)) w....

Differentiate ` sqrt(sin^(-1)sqrt(x)) ` w.r.t. x, `( 0 lt x lt 1`)

Text Solution

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Let ` y = sqrt(sin^(-1)sqrt(x))`
` (dy)/(dx) =1/2 (sin^(-1) sqrtx)^(-1/2) . d/(dx) sin^(-1) (sqrtx)`
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