y=x^(x)-2^(sin x)

If y= x^(2) (sin x+cos x) ,then (d^(2)y)/(dx^(2))=

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=e^(x sin ^2 x ) + ( sin x )^x, find (dy)/(dx)

Find the first derivative and second derivative of given functions w rt the independent variable x(i)y=ln x^(2)+sin x(ii)y=x^((1)/(7))+tan x

Identify the statements (s) which is/are true.f(x,y)=e^((y)/(x))+tan(y)/(x) is homogeneous of degree zero.x,ln(y)/(x)dx+(y^(2))/(x)sin^(-1)(y)/(x)dy=0 is homogeneous of degree one f(x,y)=x^(2)+sin x.cos y is not homogeneous (x^(2)+y^(2))dx-(xy^(2)-y^(3))dy=0 is a homogeneous differential equation.

Find first derivation of y w.r.t. x. (i) y=x^(2) sin x , (ii) y=4(e^(x))cos x

Find first derivation of y w.r.t. x. (i) y=x^(2) sin x , (ii) y=4(e^(x))cos x