What is the derivative of xy-2y equals 1?

Answer 1

by implicit differentiation you have

y+x*dy/dx-2dy/dx=0

solving for dy/dx you'll have

dy/dx=y/(2-x)

and solving for y in the original equation and plugging it back in, you'll get

dy/dx=1/(-x^2 +4x-4) which is your final answer

Answer 2

To find the derivative of the equation xy - 2y = 1, differentiate each term with respect to x using the product rule for the first term and the power rule for the second term. This yields dy/dx = (1 - 2x).