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Popular >

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

Solution

extreme points

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

Solution

Minimum (0, 0)

Solution steps

f^{'} (x) = \frac{8 x ^{\frac{5}{3}}}{3}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

x^{\frac{8}{3}} : 0

Minimum (0, 0)

Popular Examples

extreme f(x)=x^2-9yx^2-7x+12 extreme points

f (x) = x^{2} - 9 y x^{2} - 7 x + 12

extreme f(x)=2x^3-9x^2+12x+6 extreme points

f (x) = 2 x^{3} - 9 x^{2} + 12 x + 6

extreme f(x)=x+ln(1-x)extreme points

f (x) = x + ln (1 - x)

extreme f(x)=7xln(x)extreme points

f (x) = 7 x ln (x)

extreme f(x)=x^2+xy+y^2-16y+85 extreme points

f (x) = x^{2} + x y + y^{2} - 16 y + 85

Frequently Asked Questions (FAQ)

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