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

The global 3x^4+4x^3 is Global Minimum(-1,-1)

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global 3x^4+4x^3

global extreme points

3 x^{4} + 4 x^{3}

Global Minimum (- 1, - 1)

Solution steps

Find the extreme points:

Minimum

(- 1, - 1),

Saddle

(0, 0)

Find the function range:

[- 1, \infty)

Verify extreme points are global points

Global Minimum (- 1, - 1)

f (x) = \frac{8}{( 2 x - 5 ) ^{3}}

\frac{1}{x + 5} + 2

y - 1 = - 3 (x - 4)

f (x) = 5 x^{\frac{2}{3}} + 10

y = 7 x + 6