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MHT CET2019Morning ShiftMathematicsDifferentiationActual

If then y = log ⁡ x + x 2 + 25 x 2 + 25 - x then d y d x = ….

Options

  1. A1 x 2 + 25
  2. B2 x 2 + 25
  3. C- 1 x 2 + 25
  4. D- 2 x 2 + 25

Correct answer

B. 2 x 2 + 25

Step-by-step solution

We have, y = log ⁡ x + x 2 + 25 x 2 + 25 - x ⇒ y = log ⁡ x + x 2 + 25 2 x 2 + 25 - x 2 ⇒ y = log ⁡ x + x 2 + 25 2 25 ⇒ y = 2 log ⁡ x + x 2 + 25 - l o g 25 On differentiating both sides w.r.t.x, we get d y d x = 2 x + x 2 + 25 1 + 1 2 x 2 + 25 2 x = 2 x + x 2 + 25 x 2 + 25 + x x 2 + 25 = 2 x 2 + 25

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