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Popular >

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

Solution

extreme points

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

Solution

Maximum (1, - \frac{1}{2})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

x - \frac{3}{2} x^{\frac{2}{3}} : - \frac{1}{2}

Maximum (1, - \frac{1}{2})

Popular Examples

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extreme f(x)=(x^2-x)^{1/3}extreme points

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Frequently Asked Questions (FAQ)

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