If `x y+y^2=tanx+y ,t h e n(dy)/(dx)dot`

If x^y=y^x ,"then find"(dy)/(dx)dot

If y=sqrt(sinx+y),then (dy)/(dx)dot

If x^3+y^3+3a x y=0 ,f i nd (dy)/(dx)dot

If y=(sinx)^(tanx),t h e n(dy)/(dx)= (a) (sinx)^(tanx)(1+sec^2xlogsinx) (b) tanx(sinx)^(tanx-1)cosx (c) (sinx)^(tanx) (d) sec^2xlogsinx tanx(sinx)^(tanx-1)

If x y=e^((x-y)), then find (dy)/(dx)

If y=sqrt(log{sin((x^2)/3-1)}) , t h e n find (dy)/(dx)dot

If sin^(-1)((x^2-y^2)/(x^2+y^2))=loga ,t h e n(dy)/(dx) is equal to x/y (b) y/(x^2) (x^2-y^2)/(x^2+y^2) (d) y/x

If y=(tanx)/(x) find (dy)/(dx)

If y=(x+sqrt(x^2+a^2))^n ,t h e n(dy)/(dx) is (a) (n y)/(sqrt(x^2+a^2)) (b) -(n y)/(sqrt(x^2+a^2)) (c) (n x)/(sqrt(x^2+a^2)) (d) -(n x)/(sqrt(x^2+a^2))

If y=(log)_(sinx)(tanx),t h e n(((dy)/(dx)))_(pi/4)"is equal to" (a) 4/(log2) (b) -4log2 (c) (-4)/(log2) (d) none of these