Answer: y/x =16/5
Explanation:
Move the expression to the left, y x 1 = 4/5 x (x · 4)
Set the function, y x 1 - 4/5 x (x · 4) = 0
find f_x and f_y, f (x , y) = y x 1 - 4/5 x ( x · 4)
find the first partial derivative,
f (x , y) = 1 - 4/5 x (x · 4), f_x = ?
f (x , y) x 1 - 4/5 x ( x · 4) f_y = ?
subsitute f_x = -16/5 and f_y = 1 into
d y/ d x = -(f_x/f_y)
determine the sign, (d y/d x) = -(-(16/5) /1)
divide, dy/dx = (16/5/1)
solution: (d y/d x) = 16/5
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