Question

PLEASE HELP ME!!!

If x4 + 4y = 8xy, then StartFraction d y Over d x EndFraction =

A) StartFraction x cubed Over 2 x minus 1 EndFraction
B) StartFraction x cubed + 1 Over 2 x EndFraction
C) StartFraction x cubed minus 2 y Over 2 x minus 1 EndFraction
D) StartFraction x cubed minus 2 y + 1 Over 2 x EndFraction

Answer 1

x⁴ + 4y = 8xy

4x³ + 4(dy/dx) = 8(x(dy/dx) + y)

4x³ + 4(dy/dx) = 8x(dy/dx) + 8xy

(8x - 4)(dy/dx) = 4x³ - 8xy

4(2x - 1)(dy/dx) = 4x(x² - 2y)

dy/dx = x(x² - 2y)/(2x - 1)