Question

Find and simplify dy/dx for yx-2y=x+2. Text book answer is -4/(x-2)^2 but that is not the answer I am coming up with.

Answer 1

start by making y the subject

y(x - 2) = x + 2

now divide both sides by (x -2)

\[y = \frac{x + 2}{x -2} \]

you now need the quotient rule to find the derivative

Answer 2

Thank you!