JEE Main 2024 Mathematics question

MathematicsContinuity and DifferentiabilityJEE Main 2024

Let a and b be real constants such that the function f defined by be differentiable on ℝ. Then, the value of equals

Answer: (B)

Solution

Continuity at x = 1: 1 + 3 + a = b + 2. Differentiability: f′(1⁻) = 2 + 3 = 5 = b. So b

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Question ID VK-016989