Question

(x+y)^2=2axy find dy/dx??​

Answer 1

Answer:

dy/dx = -(x - ay + y)/(x - ax + y)

Step-by-step explanation:

(x + y)² = 2axy

Diffentiate both sides of the equation.

2(x + y)(dx + dy) = 2a(xdy + ydx)

Divide both sides by 2.

(x + y)dy - axdy = aydx - (x + y)dx

(x - ax + y)dy = - (x - ay + y)dx

=> dy/dx = -(x - ay + y)/(x - ax + y)