" If "y=(sin(x)/(2)+cos(x)/(2))^(2)," find "(dy)/(dx)" at "x=(pi)/(6)

If " " y=(sin(x/2)+cos(x/2))^2, (dy)/(dx) at x=pi/6

If y=sin(cos x^(2)) , find (dy)/(dx)

If y= x^(sin x- cos x)+ (x^(2)-1)/(x^(2)+1)," find "(dy)/(dx) .

If y={log_(cos x)sin x}{log_(sin x)cos x)^(-1)+sin^(-1)((2x)/(1+x^(2))) find (dy)/(dx) at x=(pi)/(4)

If sin^(2)x + cos^(2) y = 1 find (dy)/(dx) .

y=((sin x)/(2)+(cos x)/(2))^(2),quad quad f in d(dy)/(dx)at backslash x=(pi)/(6)

If y=sin^(-1)(sin x), then (dy)/(dx) at x=(pi)/(2) is

(i) If y= 6x^(5) -4x^(4) -2x^(2) +5x -9 " find " (dy)/(dx) at x = -1 (ii) If y = (sin x + tan x) , " find " (dy)/(dx) at x = pi/4 (iii) If y = ((2 -3 cos x))/sin x , " find " (dy)/(dx) at x = pi/4