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Popular >

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

Solution

extreme points

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

Solution

Minimum (3, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 3

into

(x - 3)^{\frac{4}{3}} : 0

Minimum (3, 0)

Graph

Popular Examples

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f (x y) = x y + 4 x

extreme f(x)=(3x^5-20x^3)/(32)extreme points

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extreme f(x)=x+2 extreme points

f (x) = x + 2

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-3)^{4/3} ?
The extreme f(x)=(x-3)^{4/3} is Minimum(3,0)