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AP EAMCET2001MathematicsDifferentiation

If y_k is the k th derivative of y with respect to ' x ', and y= ( x) , then y₁ x+y₂ x is equal to

Options

  1. Ay ^3 x
  2. B-y ^3 x
  3. Cy ^3 x
  4. D-y ^3 x

Correct answer

D. -y ^3 x

Step-by-step solution

Given that, y= ( x) aligned & y₁=- ( x) x & y₂=- ( x) ^2 x+ ( x) x aligned Now, y₁ x+y₂ x aligned & =- ( x) x x & -y ^3 x+ ( x) x x & =-y ^3 x aligned

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