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If y = log ( x^5 e^5 ), then d^2y dx^2 is,

CUET UG 2023 — Mathematics Applied-Mathematics

2023mcqeasy

If y=log⁡(x5e5)y = \log\left(\frac{x^5}{e^5}\right)y=log(e5x5​), then d2ydx2\frac{d^2y}{dx^2}dx2d2y​ is,

Official previous-year question

Held on 15 Jun 2023 · Verified 13 Jul 2026.

Options

  1. A

    −5x2\frac{-5}{x^2}x2−5​

  2. B

    −20x4\frac{-20}{x^4}x4−20​

  3. C

    x3e2\frac{x^3}{e^2}e2x3​

  4. D

    −20x3e2\frac{-20x^3}{e^2}e2−20x3​

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