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Popular >

extreme x^5ln(x)

Solution

extreme points

x^{5} ln (x)

Solution

Minimum (\frac{1}{5 e}, - \frac{1}{5 e})

Solution steps

f^{'} (x) = 5 x^{4} ln (x) + x^{4}

Find intervals:

Decreasing

: 0 < x < \frac{1}{5 e},

Increasing

: \frac{1}{5 e} < x < \infty

Plug

x = \frac{1}{5 e}

into

x^{5} ln (x) : - \frac{1}{5 e}

Minimum (\frac{1}{5 e}, - \frac{1}{5 e})

Graph

Popular Examples

extreme f(x)=14x^2+7xy-7/4 y^2-7x+4y extreme points

f (x) = 14 x^{2} + 7 x y - \frac{7}{4} y^{2} - 7 x + 4 y

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

f (x) = 7 x

extreme-x^2 extreme points

- x^{2}

extreme f(x)=-2x^2-16x-31 extreme points

f (x) = - 2 x^{2} - 16 x - 31

extreme y=x^2-2x+1 extreme points

y = x^{2} - 2 x + 1

Frequently Asked Questions (FAQ)

What is the extreme x^5ln(x) ?
The extreme x^5ln(x) is Minimum(1/(\sqrt[5]{e)},-1/(5e))