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Popular >

extreme f(x)=12x^{2/3}-8x

Solution

extreme points

f (x) = 12 x^{\frac{2}{3}} - 8 x

Solution

Minimum (1, 4)

Solution steps

f^{'} (x) = \frac{8}{x ^{\frac{1}{3}}} - 8

Find intervals:

Decreasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

12 x^{\frac{2}{3}} - 8 x : 4

Minimum (1, 4)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=12x^{2/3}-8x ?
The extreme f(x)=12x^{2/3}-8x is Minimum(1,4)