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MHT CET202620 April 2026Evening ShiftMathematicsDifferentiationActual

If x y + y x = 6 , then dy dx =

Options

  1. Ax + 17y 17x - y
  2. Bx - 17y 17x - y
  3. Cx - 17y 17x + y
  4. Dx + 17y 17x + y

Correct answer

B. x - 17y 17x - y

Step-by-step solution

Given x y + y x = 6 Squaring both sides, we get: x y + y x + 2 = 36 x y + y x = 34 x^2 + y^2 = 34xy Differentiating both sides with respect to x : 2x + 2y dy dx = 34 ( y + x dy dx ) Dividing by 2 : x + y dy dx = 17y + 17x dy dx Rearranging the terms to solve for dy dx : x - 17y = (17x - y) dy dx dy dx = x - 17y 17x - y Answer: x - 17y 17x - y

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