What is the extreme f(x)=x-(-2)x^{-1} ?

The extreme f(x)=x-(-2)x^{-1} is Maximum(-sqrt(2),-2sqrt(2)),Minimum(sqrt(2),2sqrt(2))

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extreme f(x)=x-(-2)x^{-1}

extreme points

f (x) = x - (- 2) x^{- 1}

Maximum (- 2, - 22), Minimum (2, 22)

Solution steps

f^{'} (x) = 1 - \frac{2}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

x - (- 2) x^{- 1} : - 22

Maximum (- 2, - 22)

Plug

x = 2

into

x - (- 2) x^{- 1} : 22

Minimum (2, 22)

Maximum (- 2, - 22), Minimum (2, 22)

f (x, y) = 6 x^{2} y - 9 x y

f (x) = ln (2 x^{2} - 2 x + 3)

x + 2 - x^{2}

f (x) = 12 x^{4} - 80 x^{3} - 24 x^{2} + 240 x + 720

y = \frac{2 ( x + 3 )}{x ^{2} + x - 2}

What is the extreme f(x)=x-(-2)x^{-1} ?
The extreme f(x)=x-(-2)x^{-1} is Maximum(-sqrt(2),-2sqrt(2)),Minimum(sqrt(2),2sqrt(2))