Home
Class 12
MATHS
" 1.If "y=(sin x)^((sin x)^((sin x)...oo...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

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

Ify=(sin x)^(sin x)sim((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))

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) ^((sin x) ^(...oo))), then (dy)/(dx)=

If (sin x)^(y)=x+y, prove that (dy)/(dx)=(1-(x+y)y cot x)/((x+y)log sin x-1)

If (sin x)^(y)=x+y, prove that(dy)/(dx)=(1-(x+y)y cot x)/((x+y)log sin x-1)

If (sin x)^(y)=(cos y)^(x), prove that (dy)/(dx)=(log cos y-y cot x)/(log sin x+x tan y)

(sin x)^(y)=(cos y)^(x),quad prove that (dy)/(dx)=(log cos y-y cot x)/(log sin x+x tan y)