If the function g(x) = cases k x+1 , & 0 x 3 + 2, & 3 < x 5 cases is differentiable, then the value of k + m is

JEE Main 2015 Mathematics question

If the function is differentiable, then the value of k + m is

Answer: (2)

Continuity at x = 3 requires , i.e. . Differentiability requires the derivatives to match:

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Question ID VK-115213