Question

A bug crawls along the graph of
2
y x x    4 1
, where x and y are positive and measured in
centimeters. If the x-coordinate of the bug’s position
x y,  changes at a constant rate of 3
cm/min, how fast is the y-coordinate changing when the bug is 1 cm above the x-axis?

Answer 1

your equation came out looking rather jibberish on my computer, but I see it contans x's and y's
I can give you the general method of doing this question ....

Find the derivative with respect to t, then your result should contain dx/dt and dy/dt , as well as x and y

you are given :
y = 1, sub into the original equation and solve for x
you are also given: dx/t = 3

which leaves dy/dt as the only unknown in your derivative equation.
Sub in all known values and solve for it.