Please solve the following questions with fill solution. Thanks.?

y = ln(sinx)
y' = -cosx/sinx

y = cos(2x)
y' = -2sin(2x)

y = cos(x²)
y' = -2xsin(x²)

y = cos²(x)
y' = -2(cosx)(sinx)

y = cos(2^x)
y' = -2^x(ln2)(sinx)

y = e^(sinx)
y' = cosx e^(sinx)

y = [sin(x)]^(1/2)
y' = (-cosx/2) / [sin(x)]^(1/2)

y=In(sin x)
y'=1/(sin x) cos x
y'=1/tan x

y=cos(2x)
y'=-2sin(2x)

y=cos(x²)
y'=-2xsin(x²)

y=cos²(x)
y'=-2(cos x)(sin x)

y=cos(2^x)
y'=-2^x(ln2)(sin 2^x)

y=e^(sin x)
y'=cos x e^(sin x)

y = [sin(x)]^(1/2)
y' = (cos x) / 2[sin(x)]^(1/2)