y=sin(x^(x))

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

If y= x^(sin x) +(sin x)^(x) ,then (dy)/(dx) =

Find (dy)/(dx) if,y=x^(sin x)+(sin x)^(x)

The area of the region, bounded by the curves y=sin^(-1)x+x(1-x) and y=sin^(-1)x-x(1-x) in the first quadrant is-

(dy)/(dx)=(y)/(x)+x sin((y)/(x))

|{:(cos(x+y),sin(x+y),-cos(x+y)),(sin(x-y),cos(x-y),sin(x-y)),(sin2x,0,sin2y):}|=sin2(x+y)

Prove that : (sin (x+y))/(sin (x-y) )= (sin x. cos y + cos x . Sin y)/(sin x. cos y-cos x. sin y)

Prove that : (sin (x+y))/(sin (x-y) )= (sin x. cos y + cos x . Sin y)/(sin x. cos y-cos x. sin y)

{x cos (y/x)+y sin (y/x)} y d x={y sin (y/x)-(x) cos (y/x)} x d y