If f(x)= cases e^x, & x<2 a+bx, & x 2 cases is differentiable for all x R then

JEE Advanced Mathematics question

f(x)=

is differentiable for all then

Answer: (A),(B),(C)

Only needs checking.

- Continuity at : . - Derivatives: LHD (valid once continuity holds);

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Question ID VK-109332