What is the global x^4-4x^3 ?

The global x^4-4x^3 is Global Minimum(3,-27)

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global x^4-4x^3

global extreme points

x^{4} - 4 x^{3}

Global Minimum (3, - 27)

Solution steps

Find the extreme points:

Saddle

(0, 0),

Minimum

(3, - 27)

Find the function range:

[- 27, \infty)

Verify extreme points are global points

Global Minimum (3, - 27)

f (x) = \frac{2 x ^{2}}{x ^{2} + 3 x - 10}

8 ln (x) - x^{2}

- 3 (x + 5)^{3}

2 x - 6

f (x) = \frac{( x ^{2} - 16 )}{( x - 2 )}