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JEE Advanced2010MathematicsApplication of DerivativesActual

The maximum value of the expression 1 ^2 +3 +5 ^2 is

Correct answer

2

Step-by-step solution

Let aligned & f( )= 1 ^2 +3 +5 ^2 & Again let & g( )= ^2 +3 +5 ^2 & = 1- 2 2 +5 ( 1+ 2 2 )+ 3 2 2 & =3+2 2 + 3 2 2 & g( )_ =3- 4+ 9 4 =3- 5 2 = 1 2 & f( )= 1 g( )_ =2 aligned

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