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Popular >

extreme 3x^{2/3}-x

Solution

extreme points

3 x^{\frac{2}{3}} - x

Solution

Minimum (0, 0), Maximum (8, 4)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < \frac{1}{8},

Increasing

: \frac{1}{8} < x < \infty

Plug

x = 0

into

3 x^{\frac{2}{3}} - x : 0

Minimum (0, 0)

Plug

x = 8

into

3 x^{\frac{2}{3}} - x : 4

Maximum (8, 4)

Minimum (0, 0), Maximum (8, 4)

Popular Examples

domain of (5x)/(6x-1)domain

\frac{5 x}{6 x - 1}

extreme f(x)=x^4-8x^2+2 extreme points

f (x) = x^{4} - 8 x^{2} + 2

inverse of f(x)=log_{1/5}(x)inverse

f (x) = lo g_{\frac{1}{5}} (x)

extreme f(x)=x^4-2x^2 extreme points

f (x) = x^{4} - 2 x^{2}

domain of f(x)=\sqrt[3]{3x+9}domain

Frequently Asked Questions (FAQ)

What is the extreme 3x^{2/3}-x ?
The extreme 3x^{2/3}-x is Minimum(0,0),Maximum(8,4)