यदि `(sinx)^(y)=x+y` हो, तो सिद्ध कीजिए कि-
`!=(1-(x+y)ycotx)/((x+y)logsinx-1)`

If (sin"x")^y=x+y ,p rov et h a t(dy)/(dx)=(1-(x+y)ycotx)/((x+y)logsinx-1)

If (sinx)^y=x+y , prove that (dy)/(dx)=(1-(x+y)ycotx)/((x+y)logsinx-1)

If (sinx)^y=(cosy)^x ,p rov et h a t(dy)/(dx)=(logcosy-ycotx)/(logsinx+xtany)

If (sinx)^y=(cosy)^x , prove that (dy)/(dx)=(logcosy-ycotx)/(logsinx+xtany)

If (sin"x")^y=(cos"y")^x , prove that (dy)/(dx)=(logcosy-ycotx)/(logsinx+xtany)

If y+d/(dx)(x y)=x(sinx+logx),find y.

If y=(sinx)^((sinx)^((sinx)^(....oo))) show that, (dy)/(dx)=(y^(2)cot x)/(1-ylog(sinx))

If sinx = 1//2 and sin y=2//3 , then what is the value of [(6cos^2 x - 4cos^4 x)//(18cos^2 y -27cos^4 y)] ? यदि sinx = 1//2 तथा sin y=2//3 है, तो [(6cos^2 x - 4cos^4 x)//(18cos^2 y -27cos^4 y)] का मान क्या है?

If x^y+y^x= (x+y)^(x+y) , then prove that dy/dx= ((x+y)^(x+y) [1+log(x+y)]-yx^(y-1)-y^xlogy)/(x^ylogx+xy^(x-1) -(x+y)^(x+y) [1+log(x+y)]