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Popular Functions >

extreme f(x)=x^2+10x^{2/3}

Solution

extreme points

f (x) = x^{2} + 10 x^{\frac{2}{3}}

Solution

Minimum (0, 0)

Solution steps

f^{'} (x) = \frac{20 + 6 x ^{\frac{4}{3}}}{3 x ^{\frac{1}{3}}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

x^{2} + 10 x^{\frac{2}{3}} : 0

Minimum (0, 0)

Graph

Popular Examples

extreme y=-x^2+1-,1<= x<= 2

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extreme f(x)=13e^{-x}

extreme f(x)=-x^4-6x

extreme P(X,Y)=36X^2-9Y^2

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^2+10x^{2/3} ?
The extreme f(x)=x^2+10x^{2/3} is Minimum(0,0)