Question

A point is moving on the graph of xy = 5.
When the point is at (4, 5/4 ), its x-coordinate
is increasing at a rate of 3 units per second.
What is the speed of the y-coordinate at
that moment and in which direction is it moving?

Answer 1

(dx/dt)(y) + x(dy/dt) = 0

(3)(5/4) + (4)(dy/dt) = 0

dy/dt = -15/16

Answer 2

So it is decreasing at a rate of -15/16 units per second

Answer 3

noppe thats not it :/

Answer 4

is it decreasing or increasing at y?

Answer 5

y is decreasing at a rate of 15/16 units per second

Answer 6

thx:)