Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Aug, Evening shift · Q2660

JEE Main 202127 Aug, Evening shiftMathematicsHardLimit, Continuity and Differentiability420× since 2002

A box open from top is made from a rectangular sheet of dimension a

\times

b by cutting squares each of side x from each of the four corners and folding up the flaps. If the volume of the box is maximum, then x is equal to :

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JEE Main 2021 Limit, Continuity and Differentiability Question with Solution (27 Aug Evening shift, Q2660) | JEE Arc

JEE Main 2021 · 27 Aug, Evening shift · Q2660

JEE Main 202127 Aug, Evening shiftMathematicsHardLimit, Continuity and Differentiability420× since 2002

A box open from top is made from a rectangular sheet of dimension a

\times

b by cutting squares each of side x from each of the four corners and folding up the flaps. If the volume of the box is maximum, then x is equal to :