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Popular >

extreme f(x)=8-x^{2/3}

Solution

extreme points

f (x) = 8 - x^{\frac{2}{3}}

Solution

Maximum (0, 8)

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

8 - x^{\frac{2}{3}} : 8

Maximum (0, 8)

Popular Examples

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f (x, y) = - 2 x y e^{- x^{2} - y^{2}}

extreme f(x,y)=xy+x^2y-xy^2 extreme points

f (x, y) = x y + x^{2} y - x y^{2}

extreme f(x)=x^3+6x^2+12x+2 extreme points

f (x) = x^{3} + 6 x^{2} + 12 x + 2

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extreme f(x)=x^3+6x^2+12x+3 extreme points

f (x) = x^{3} + 6 x^{2} + 12 x + 3

Frequently Asked Questions (FAQ)

What is the extreme f(x)=8-x^{2/3} ?
The extreme f(x)=8-x^{2/3} is Maximum(0,8)