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JEE Main 2019 · 12 April · Shift I

JEE Main 2019 Mathematics question on Limits Continuity and Differentiability

If ey+xy=ee^y + xy = e, the ordered pair (dydx,d2ydx2)\left(\frac{dy}{dx}, \frac{d^2y}{dx^2}\right) at x=0x = 0 is equal to
  1. A.
    (1e,−1e2)\left(\frac{1}{e}, -\frac{1}{e^2}\right)
  2. B.
    (−1e,1e2)\left(-\frac{1}{e}, \frac{1}{e^2}\right)
  3. C.
    (1e,1e2)\left(\frac{1}{e}, \frac{1}{e^2}\right)
  4. D.
    (−1e,−1e2)\left(-\frac{1}{e}, -\frac{1}{e^2}\right)
Show answer

Correct option: B

[JEE Main 2019 · 12 April · Shift I]

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