Find the extreme values of the function f(x)=(x^2-1)/(x^2+1) on the interval [-5,5].

Robaffonadorkdh 2022-09-30 Answered
Find the extreme values of the function
f ( x ) = x 2 1 x 2 + 1
on the interval [-5,5].
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Answers (1)

Abigayle Lynn
Answered 2022-10-01 Author has 12 answers
f ( x ) = x 2 1 x 2 + 1 ; [ 5 , 5 ]
Find critical point
f ( x ) = f g g f g 2 = 0 = 2 x ( x 2 + 1 ) 2 x ( x 2 1 ) ( x 2 + 1 ) 2 = 0 = 4 x ( x 2 + 1 ) 2 = 0 f ( 5 ) = ( 5 ) 2 1 ( 5 ) 2 + 1 = 25 1 25 + 1 = 24 26
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