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AP EAMCET2002MathematicsDifferentiation

If y=a ( x)+b ( x) , where a, b are parameters, then x^2 y^ +x y^ is equal to

Options

  1. Ay
  2. B-y
  3. C2 y
  4. D-2 y

Correct answer

A. y

Step-by-step solution

We have, aligned & y=a ( x)+b ( x) & y^ = -a ( x) x + b ( x) x & y^ = -a ( x) x^2 + a ( x) x^2 & - b ( x) x^2 - b ( x) x^2 & x^2 y^ =-[a ( x)+b ( x)] & -[a ( x)+b ( x)] & x^2 y^ =-y-x y^ & x^2 y^ +x y^ =-y & aligned

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