Question

Evaluate dy/(dx) for the equation 2xy=12 at the given point (-6,-1). Round answer to two decimal places.

Answer 1

2'xy + 2x'y + 2xy' = 0

Answer 2

0xy + 2y + 2x y' = 0

y + x y' = 0

y' = y/x

Answer 3

2xy = 12
xy = 6
differentiating both sides with respect to x
x' y + x y' = 0
y + x dy/dx = 0
Because derivative of x is 1 and y' = dy/dx
put in the value of x and y and get your answer!

Answer 4

Thanks amistre! :)

Answer 5

yep, i dropped a negative on mine some :)

Answer 6

brain says one thing and fingers type another ... :)

Answer 7

Haha true :)