Find the relative extrema of the following function f(x)=(2x^2)/(x^2-1)

Seamus Mcknight

Seamus Mcknight

Answered question

2022-09-24

Find the relative extrema of the following function
f ( x ) = 2 x 2 x 2 1

Answer & Explanation

Lorenzo Acosta

Lorenzo Acosta

Beginner2022-09-25Added 13 answers

As we are given f ( x ) = 2 x 2 x 2 1
To get maxima let's get f(x)
So f ( x ) = ( x 2 1 ) d d x ( 2 x 2 ) ( 2 x 2 ) d d x ( x 2 1 ) ( x 2 1 ) 2 f ( x ) = ( x 2 + 14 x 2 x 2 ( 2 x ) ) x 2 + 1 2 f ( x ) = 4 x ( x 2 1 ) 2
now lets put f'(x) and value of 'x'
we get x=0
Now let's get f''(x) to check that at x=0

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