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Popular >

extreme f(x)=3(x-4)^{2/3}+6

Solution

extreme points

f (x) = 3 (x - 4)^{\frac{2}{3}} + 6

Solution

Minimum (4, 6)

Solution steps

f^{'} (x) = \frac{2}{( x - 4 ) ^{\frac{1}{3}}}

Find intervals:

Decreasing

: - \infty < x < 4,

Increasing

: 4 < x < \infty

Plug

x = 4

into

3 (x - 4)^{\frac{2}{3}} + 6 : 6

Minimum (4, 6)

Graph

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extreme+5^x-4 extreme points

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=3(x-4)^{2/3}+6 ?
The extreme f(x)=3(x-4)^{2/3}+6 is Minimum(4,6)