If 2y\(^2\) + 7 = 3y – xy, find \(\frac{dy}{dx}\)
- \(\frac{-y}{4x+y-3}\)
- \(\frac{y}{4x+y-3}\)
- \(\frac{y}{4x+x-3}\)
-
\(\frac{ -y}{4y+ x -3}\)
The correct answer is: D
Explanation
2y\(^2\) + 7 = 3y - xy, find \(\frac{dy}{dx}\)
4y\(\frac{dy}{dx}\) + 0 = 3 \(\frac{dy}{dx}\) - (x\(\frac{dy}{dx}\) + y)
{4y+ x - 3}\(\frac{dy}{dx}\) = - y
= \(\frac{-y}{4y + x - 3}\)