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Popular >

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

Solution

extreme points

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

Solution

Minimum (6, 0)

Solution steps

f^{'} (x) = \frac{2}{3 ( x - 6 ) ^{\frac{1}{3}}}

Find intervals:

Decreasing

: - \infty < x < 6,

Increasing

: 6 < x < \infty

Plug

x = 6

into

(x - 6)^{\frac{2}{3}} : 0

Minimum (6, 0)

Popular Examples

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extreme x^3-9x^2+4 extreme points

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extreme f(x,y)=x^3+y^3-6xy+27 extreme points

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

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-6)^{2/3} ?
The extreme f(x)=(x-6)^{2/3} is Minimum(6,0)