QJEEAdv05Ma1931: JEE Advanced 2005 Mathematics - Class 12 JEEAdv05Ma1931 Solution: If is a twice differentiable function and given that , then

Multiple Choice Options

• A $f''\left( x \right) = 2$ for $\forall x \in \left( {1,3} \right)$
• B $f''\left( x \right) = f'\left( x \right) = 5$ for some $x \in \left( {2,3} \right)$
• C $f''\left( x \right) = 3$ for $\forall x \in \left( {2,3} \right)$
• D $f''\left( x \right) = 2$ for some $x \in \left( {1,3} \right)$