If y=`(x)/((x+5))`, then `(dx)/(dy)` equals- (A) `(5)/((1-y)^(2))` (B) `(5)/((1+y)^(2))` (C)` (1)/((1-y)^(2))` (D) None of these

If 2y =sin^(-1) (x + 5y) , then (dx)/(dy) is equal to

If 2y=sin^-1(x+5y),then,(dy)/(dx) is equal to

If 2y=sin^-1(x+5y),then,(dy)/(dx) is equal to

If y= (1)/( 1+ x+x^2) , then (dy)/(dx) is equal to a) y^(2) (1+ 2x) b) (-1 +2x)/( y^2) c) (1+2x)/(y^2) d) -y^(2) (1+2x)

If y=(log)_(e)((x)/(a+bx))^(x), then x^(3)y_(2)=(xy_(1)-y)^(2)(b)(1+y)^(2)(c)((y-xy_(1))/(y_(1)))^(2) (d) none of these

If sin(x+y)=log(x+y), then (dy)/(dx)=(a)2 (b) -2(c)1(d)-1]

If y=tan^(-1)((4x)/(1+5x^(2)))+tan^(-1)((2+3x)/(3-2x)) , then (dy)/(dx) is equal to a) (5)/(1+25x^(2)) b) (1)/(1+25x^(2)) c)0 d) (5)/(1-25x^(2))

If 2^(x)+2^(y)=2^(x+y), then (dy)/(dx) is equal to -(2^(y))/(2^(x))(b)(1)/(1-2^(x))1-2^(y)(d)(2^(x)(1-2^(y)))/(2^(y)(2^(x)-1))

If sin(x+y)=log(x+y) , then (dy)/(dx)= (a) 2 (b) -2 (c) 1 (d) -1

The differential equation satisfied by sqrt(1+x^2)+sqrt(1+y^2)=k(xsqrt(1+y^2)-ysqrt(1+x^2)), k in R is (A) dy/dx=(1+y^2)/(1+x^2) (B) dy/dx=(1+x^2)/(1+y^2) (C) dy/dx=(1+x^2)(1+y^2) (D) none of these