JEE MATHEMATICS MCQ: MEAN VALUES THEOREM

1 Easy

1 of 1

Application +4 | -1

Let

{f}

be a continuous function in

[0,3]

and differentiable in

(0,3)

such that

{f}(3)=0

. Then there exist some

\alpha \in(0,3)

such that

View answer and explanation

Correct option: D

\alpha f^1(\alpha)+f(\alpha)=0

Option D (αf¹(α)+f(α)=0) is correct because applying Rolle's theorem to a function g(x) = x^n f(x) leads to the given condition.

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