`siny=log(x+y)`

If log x + log y = log(x + y) then y as a function of x is given by y= _________.

If siny=x sin(a+y) , then the value of (dy)/(dx) is -

Prove that, sinx.siny.sin(x-y) + siny.sinz.sin(y-z) + sinz.sinx.sin(z-x) + sin(x-y).sin(y-z).sin(z-x)=0

Let siny=xsin(a+y) Express x as a function of y.

If (log x)/(y-z)=(log y)/(z-x)=(log z)/(x-y), then prove that: x^(x)y^(y)z^(z)=1

The area of the region bounded by the curve y = log x, y = log |x| ,y= | log x| and y=|log |x|| is ….Sq. units

If y=a^(x^(x^(2)*oo)), prove that (dy)/(dx)=(y^(2)log y)/(x(1-y log x*log y))

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