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If y = 1 x , then the value of d y 1 + y 4 + d x 1 + x 4 + 3 is equal to

Options

  1. A0
  2. B3
  3. C4
  4. D- 3

Correct answer

B. 3

Step-by-step solution

y = 1 x ⇒ d y d x = - 1 x 2 ⇒ x 2 d y   +   d x = 0 ⇒ x 2 dy 1 + x 4 + d x 1 + x 4 = 0 ⇒ d y 1 x 4 + 1 + d x 1 + x 4 = 0 ⇒ d y 1 + y 4 + d x 1 + x 4 = 0 ⇒ d y 1 + y 4 + d x 1 + x 4 + 3 = 3

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