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Popular Functions >

extreme 1-x^{2/3}

Solution

extreme points

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

Solution

Maximum (0, 1)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

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

Maximum (0, 1)

Graph

Popular Examples

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extreme f(x)=8sin(|x|),-2pi<= x<= 2pi

extreme f(x)=x^3-6x+9x-2

extreme f(x)=x^3-12x,0<= x<= 5

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

Frequently Asked Questions (FAQ)

What is the extreme 1-x^{2/3} ?
The extreme 1-x^{2/3} is Maximum(0,1)