What is the extreme 0.8x^2+(72)/x ?

The extreme 0.8x^2+(72)/x is Minimum(\sqrt[3]{45},30.36357…)

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extreme 0.8x^2+(72)/x

extreme

Minimum (345, 30.36357 \dots)

Solution steps

f^{'} (x) = 1.6 x - \frac{72}{x ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 345,

Increasing

: 345 < x < \infty

Plug

x = 345

into

0.8 x^{2} + \frac{72}{x} : 30.36357 \dots

Minimum (345, 30.36357 \dots)

What is the extreme 0.8x^2+(72)/x ?
The extreme 0.8x^2+(72)/x is Minimum(\sqrt[3]{45},30.36357…)