What is the extreme f(x)=-6x-(864)/x ?

The extreme f(x)=-6x-(864)/x is Minimum(-12,144),Maximum(12,-144)

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extreme f(x)=-6x-(864)/x

extreme points

f (x) = - 6 x - \frac{864}{x}

Minimum (- 12, 144), Maximum (12, - 144)

Solution steps

f^{'} (x) = - 6 + \frac{864}{x ^{2}}

Find intervals:

Decreasing

: - \infty < x < - 12,

Increasing

: - 12 < x < 0,

Increasing

: 0 < x < 12,

Decreasing

: 12 < x < \infty

Plug

x = - 12

into

- 6 x - \frac{864}{x} : 144

Minimum (- 12, 144)

Plug

x = 12

into

- 6 x - \frac{864}{x} : - 144

Maximum (12, - 144)

Minimum (- 12, 144), Maximum (12, - 144)

f (x) = 4 x^{3} + 9 x^{2} - 12 x + 10

f (x) = x^{2} + y^{2} + 8 x - 2 y + 8

- 2 x^{2} - 900

y, f = - \frac{40000 x}{( 3 + x ^{2} + 2 y ^{2} ) ^{2}}

f (x) = (x^{3} - 3 x) (y + 3) + y (y + 6)

What is the extreme f(x)=-6x-(864)/x ?
The extreme f(x)=-6x-(864)/x is Minimum(-12,144),Maximum(12,-144)