If x^(2)+2xy+2y^(2)=1, then (dy)/(dx) at...

If `x^(2)+2xy+2y^(2)=1`, then `(dy)/(dx)` at the point where `y=1` is equal to
a)1 b)2 c)-1 d)0

A

1

B

2

C

`-1`

D

0

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

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

If xdy =y(dx+ydy),y(1)=1andy(x)gt0 , then y(-3) is equal to a)3 b)2 c)1 d)0

If 2^(x) + 2^(y) = 2^(x + y) , then the value of (dy)/(dx) at (1,1) is equal to

If x^(3)+2xy+(1)/(3)y^(3)=(11)/(3) , then (dy)/(dx) at (2,-1) is

If xe^(xy) + ye^(-xy) = sin ^(2) x , then (dy)/(dx) at x =0 is a) 2y^(2) -1 b) 2y c) y^(2) -y d) y^(2) -1

If int_(a)^(0) (x^(2) - 1)/(1-x)dx = -(1)/(2) , then the value of a is equal to a)-1 b)1 c)2 d)-2

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

If y=x/(x+1)+(x+1)/(x) , then (d^(2)y)/(dx^(2)) at x = 1 is equal to a) 7/(4) b) 7/(8) c) 1/(4) d) (-7)/(8)

If y = f (x ^(2) + 2 ) and f ' (3) = 5 , then (dy)/(dx) at x =1 is a)2 b)25 c)15 d)10

If y= sin[cos^-1 {sin (cos^-1 x)}] then (dy)/(dx) at x=1/2 is equal to a)0 b)-1 c) 2/sqrt3 d)1