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Popular Functions >

extreme 3x-9x^{1/3}

Solution

extreme points

3 x - 9 x^{\frac{1}{3}}

Solution

Minimum (- 1, 6), Maximum (1, - 6)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = - 1

into

3 x - 9 x^{\frac{1}{3}} : 6

Minimum (- 1, 6)

Plug

x = 1

into

3 x - 9 x^{\frac{1}{3}} : - 6

Maximum (1, - 6)

Minimum (- 1, 6), Maximum (1, - 6)

Graph

Popular Examples

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asymptotes of (5/4)^x

Frequently Asked Questions (FAQ)

What is the extreme 3x-9x^{1/3} ?
The extreme 3x-9x^{1/3} is Minimum(-1,6),Maximum(1,-6)