Respuesta :

Answer

7/3

Step-by-step explanation:

Find f of x and f of y

F(x,y) = 2x + 27 - 16x + 4y + 20, f of x = -14

F(x,y) = 2x + 2y - 16x + 4y + 20, f of y = 6

Find the fist partial derivative

f of x = -14

f of y = 6

Subsitude f of x = 14 and f of y = 6 into dy/dx = - f of x / f of y

reduce the fraction

dy/dx = - 14/6 = - - 7/3 = 7/3