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

A

`-2`

B

2

C

5

D

`-5`

Verified by Experts

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 x = ( 3t)/( 1 + t ^(3)) and y = ( 3 t ^(2))/( 1 +t ^(3)), then (dy)/(dx) at t =1 equals

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 x=(2at)/(1+t^(3))andy=(2at^(2))/((1+t^(3))^(2)), then (dy)/(dx) is

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

If x^(3) + y^(3) = 3axy , find ( dy)/( dx)

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

If y=2+sqrtu and u=x^(3)+1 , then (dy)/(dx)=

Find (dy)/(dx) if 2x+3y=siny

Find (dy)/(dx) if 2x+3y=sinx