The function f(x)=x(x+3)e^ - ( 12 )x satisfies all the conditions of Rolle's theorem in [-3,0], then c=

MHT CET 2026 Mathematics question

The function satisfies all the conditions of Rolle's theorem in , then

Answer: (B)

is continuous and differentiable everywhere, and , so Rolle's theorem applies on . . Setting gives , i.e.

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Question ID VK-101539