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Popular >

extreme x^2ln(x/6)

Solution

extreme points

x^{2} ln (\frac{x}{6})

Solution

Minimum (\frac{6}{e}, - \frac{18}{e})

Solution steps

f^{'} (x) = 2 x ln (\frac{x}{6}) + x

Find intervals:

Decreasing

: 0 < x < \frac{6}{e},

Increasing

: \frac{6}{e} < x < \infty

Plug

x = \frac{6}{e}

into

x^{2} ln (\frac{x}{6}) : - \frac{18}{e}

Minimum (\frac{6}{e}, - \frac{18}{e})

Popular Examples

domain of 3/(2/x-1)domain

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

inflection f(x)=x^4+4x^3-18x^2 inflection points

f (x) = x^{4} + 4 x^{3} - 18 x^{2}

intercepts of f(x)=6x^4+3x^3-9x^2 intercepts

f (x) = 6 x^{4} + 3 x^{3} - 9 x^{2}

intercepts of f(x)=(sin(4x))/(2x)intercepts

f (x) = \frac{sin ( 4 x )}{2 x}

inverse of f(x)=(2x)/(7x-9)inverse

f (x) = \frac{2 x}{7 x - 9}

Frequently Asked Questions (FAQ)

What is the extreme x^2ln(x/6) ?
The extreme x^2ln(x/6) is Minimum(6/(sqrt(e)),-(18)/e)