JEE Main20245 Apr 2024Evening ShiftMathematicsDifferentiationActual

If y( )= 2 + 2 3 +4 2 +5 +2 , then at = 2 , y^ +y^ +y is equal to :

Options

A1 2
B1
C2
D3 2

Correct answer

C. 2

Step-by-step solution

aligned & y= 2 +2 ^2 -1 4 ^3 -3 +8 ^2 -4+5 +2 & y= (2 ^2 +2 -1 ) (2 ^2 +2 -1 )(2 +2) & y= 1 2 ( 1 1+ ) & = 2 y= 1 2 & y^ = 1 2 ( -1 (1+ )^2 (- ) ) & = 2 y= 1 2 aligned aligned y^ & = 1 2 [ (1+ )^2- (2)(1+ )(- ) (1+ )^4 ] & = 2 y=1 aligned

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