What is the extreme y=3x^{2/3}-2x[-1.1] ?

The extreme y=3x^{2/3}-2x[-1.1] is Maximum(-1000/1331 ,0.82644…)

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extreme y=3x^{2/3}-2x[-1.1]

extreme

Maximum (- \frac{1000}{1331}, 0.82644 \dots)

Solution steps

f^{'} (x) = \frac{2}{x ^{\frac{1}{3}}} + 2.2

Find intervals:

Decreasing

: - \infty < x < - \frac{10.648}{8},

Increasing

: - \frac{10.648}{8} < x < \infty

Plug

x = - \frac{1000}{1331}

into

3 x^{\frac{2}{3}} - 2 x [- 1.1] : 0.82644 \dots

Maximum (- \frac{1000}{1331}, 0.82644 \dots)

What is the extreme y=3x^{2/3}-2x[-1.1] ?
The extreme y=3x^{2/3}-2x[-1.1] is Maximum(-1000/1331 ,0.82644…)