JEE Advanced 2018 Paper 2 Mathematics Q11

Mathematics

Problem

Let f : ℝ → ℝ be a differentiable function with f(0) = 1 and satisfying the equation f(x + y) = f(x)f′(y) + f′(x)f(y) for all x, y ∈ ℝ. Then, the value of logₑ(f(4)) is _____.

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