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Popular >

inflection x^2ln(x/2)

Solution

inflection points

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

Solution

(\frac{2}{e ^{\frac{3}{2}}}, - \frac{6}{e ^{3}})

Solution steps

f^{''} (x) = 2 ln (\frac{x}{2}) + 3

Find intervals:

Concave Downward

: 0 < x < \frac{2}{e ^{\frac{3}{2}}},

Concave Upward

: \frac{2}{e ^{\frac{3}{2}}} < x < \infty

Plug

x = \frac{2}{e ^{\frac{3}{2}}}

into

x^{2} ln (\frac{x}{2}) : - \frac{6}{e ^{3}}

(\frac{2}{e ^{\frac{3}{2}}}, - \frac{6}{e ^{3}})

Popular Examples

extreme f(x)=x^3-12x^2-27x+4 extreme points

f (x) = x^{3} - 12 x^{2} - 27 x + 4

parallel 4x+3y=-6 parallel

4 x + 3 y = - 6

inverse of f(x)=(3x)/((x+1))inverse

f (x) = \frac{3 x}{( x + 1 )}

range of f(x)=|3x-5|+1 range

f (x) = ∣ 3 x - 5 ∣ + 1

inverse of f(x)=e^{14x-15}inverse

f (x) = e^{14 x - 15}

Frequently Asked Questions (FAQ)

What is the inflection x^2ln(x/2) ?
The inflection x^2ln(x/2) is (2/(e^{3/2)},-6/(e^3))