What is the maximum value of 2 x 2 x ?

Step-by-step solution

aligned & y= 2 x 2 x & d y d x = d d x ( 2 x) 2 x+ d d x ( 2 x) 2 x aligned = ^2 2 x- ^2 2 x= 4 x For maximum or minimum value d y d x =0 4 x=0 4 x= 2 x= 2 4 Now, d^2 y d x^2 =-4 4 x At x= 2 4 , d^2 y d x^2 =-4 2 =-4 . y is max. at x= 2 4 aligned y_ & = 2 ( 2 4 ) 2 ( 2 4 ) & = 4 4 = 1 2 1 2 = 1 2 aligned