Answer:
Step-by-step explanation:
Take the derivative of all terms with respect to x:
-2(dy/dx) + 16x = -7 + 18y(dy/dx). Grouping the (dy/dx) terms on the left, we get:
(dy/dx)(-2 - 18y) = -7 - 16x, or
-7 - 16x
dy/dx = ------------------
-2(1 + 18y)
Substituting 2 for x and -3 for y, we obtain the desired derivative:
-7 - 16x -7 - 32 -39
dy/dx = ------------------ = --------------- = ----------- = -0.368
-2(1 + 18y) -2(1 - 54) 106
