If 2y\(^2\) + 7 = 3y - xy, find \(\frac{dy}{dx}\)

FURTHER MATHEMATICS
WAEC 2021

If 2y\(^2\) + 7 = 3y - xy, find \(\frac{dy}{dx}\)

  • A. \(\frac{-y}{4x+y-3}\)
  • B. \(\frac{y}{4x+y-3}\)
  • C. \(\frac{-y}{4x+x-3}\)
  • D. \(\frac{y}{4x+x-3}\)

Correct Answer: D. \(\frac{y}{4x+x-3}\)

Explanation

2y\(^2\) + 7 = 3y - xy, find \(\frac{dy}{dx}\)

4y \(\frac{dy}{dx}\) + 0 = 3 \(\frac{dy}{dx}\) - x \(\frac{dy}{dx}\) + y

{4x+x-3} \(\frac{dy}{dx}\) = y

= \(\frac{y}{4x+x-3}\)



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