JEE MATHEMATICS MCQ: MEAN VALUES THEOREM

1 Easy

1 of 1

Application +4 | -1

Let a function

f

be differentiable on R. If

f(1)=-2

and

f(x) \geq 2, \forall x \in[1,6]

View answer and explanation

Correct option: B

f(6) \geq 8

Option B (

f(6) \geq 8

) is correct because by applying the Mean Value Theorem and using the given condition

f'(x) \geq 2

, we can deduce that

f(6) \geq 8

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