`sinsqrt(x) + cos^(2)sqrt(x)`

Answer

N/a

Explanation

Let `y = sinsqrt(x) + (cossqrt(x))^(2)`
`:. (dy)/(dx) = (d)/(dx)sin(x^(1//2))+(d)/(dx) [cos(x^(1//2))]^(2)`
`= cosx^(1//2).(d)/(dx)x^(1//2)+2cos(x^(1//2))(d)/(dx)[cos(x^(1//2))]`
`= cos(x^(1//2))(1)/(2)x^(-1//2)+2.cos(x^(1//2)).[-sin(x^(1//2)).(d)/(dx)x^(1//2)]`
`= cossqrt(x).(1)/(2sqrt(x))[-2cos(x^(1//2))].sinx^(1//2).(1)/(2sqrt(x))`
`= (1)/(2sqrt(x))[cos(sqrt(x))-sin(2sqrt(x))]`