JEE Main 2019 Mathematics question

MathematicsMethods of DifferentiationsJEE Main 2019

If , the ordered pair at x = 0 is equal to:

Answer: (A)

Solution

At x = 0, y = 1; y′ = −y/(e + x) = −1/e; differentiating again gives y″e + 1/e − 2/e = 0 ⇒ y″ = 1/e.

Question ID VK-010175