y=(sin x)^(log x)

If y=(sin x)^(ln x)cos ec(e^(x)(a+bx)) and a+b=(pi)/(2e) then the value of (dy)/(dx) at x=1 is (sin1)ln sin(1)(b)0ln sin(1)(d)1+ln(sin1)

Solve the following linear differential equation (dy)/(dx)+(y)/(x log x)=(sin 2x)/(log x)

If y=(sin x)^(sin x)sim((sin x)dot oo)), prove that (dy)/(dx)=(y^(2)cot x)/((1-y log sin x))

If y= (sin x )^(x)+ log x + (logx) ^(tan x) +x^(a) ,then (dy)/(dx) =

If y=(sin x) ^(sin x ^sin x ....oo) then prove that dy/dx=(y^2 cot x)/(1-y log (sin x))

If y=(sin x) ^(sin x ^sin x ....oo) then prove that dy/dx=(y^2 cot x)/(1-y log (sin x))

If y=(sin x)^((sin x))srove that (dy)/(dx)=(y^(2)cos x)/((1-y log sin x))