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If y = sqrt (sin ^(3) (5x+3) )+ sqrt (c...

If ` y = sqrt (sin ^(3) (5x+3) )+ sqrt (cos^(3) (5x+3) ), then (dy)/(dx) =`

A

` (3)/(2) cos ( 5x+ 3) sqrt (sin (5x +3))- (3)/(2) sin ( 5x +3) sqrt(cos (5x+ 3))`

B

` (3)/(2) cos (5x+3) sqrt (sin ( 5x+ 3)) + (3)/(2) sin ( 5x +3) sqrt ( cos (5x+3))`

C

` (15)/(2) cos ( 5x+3) sqrt(sin (5x +3) )- (15)/(2) sin (5x +3)sqrt (cos (5x +3))`

D

` (15)/(2) cos (5 x +3) sqrt ( sin5x +3) -(15)/(2) sin (5x +3)sqrt (cos 5x _+3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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