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…)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

extreme points

y = 3 x^{\frac{2}{3}} - 2 x [- 1.1]

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)

f (x) = \frac{7 + x}{8 - x}

f (x) = x^{7} - x^{5}

f (x) = - (5 x + 3) e^{- 2 x}, (- 3, 2)

x x - 1

f (x) = x^{3} - 15 x^{2} + 12 x + 7

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…)