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JEE Main 2026 Mathematics question

MathematicsApplication of DerivativesJEE Main 2026

Let f : ℝ → ℝ be a differentiable function such that for all x,y∈ℝ, and f′(0)=3. Then the minimum value of the function g(x)=3+eˣf(x), is:

Answer: (B)

Solution

Setting x=y=0 gives f(0)=0, and the functional equation forces f linear:

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Question ID VK-015503