relative rates

[scienziato]

 Suppose x  and y  are both differentiable functions of t and are related by the equation <br><br>      x³-3y=y²+1/x+y-2<br><br> Find the rate at which x  is changing when x=2  and y=1, if y  is decreasing at 3 units per second.<br><br>I am getting -9/14 but computer iss saying that it is incorrect.<br><br>plz help me out<br><br>

Edited November 3, 2012 by scienziato

[imatfaal]

Suppose xand y are both differentiable functions of t and are related by the equation

 

x^3-3y=y^2+1/x+y-2

 

[MATH] x^3 - 3y =y^2 +\frac{1}{x+y-2}[/math]

 

Find the rate at which x is changing when x=2 and y=1, if y is decreasing at 3 units per second.

 

I am getting -9/14 but computer is saying that it is incorrect.

 

plz help me out

 

Tidied it up a bit - is that equation correct? You must get used to putting more brackets in - or use latex to make it clear.

 

What have you got so far?

[scienziato]

(x³-3y)=(y²+1)/(x+y-2)