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Popular Functions >

inflection x^2ln(x)

Solution

inflection

Solution

(\frac{1}{e ^{\frac{3}{2}}}, - \frac{3}{2 e ^{3}})

Solution steps

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

Find intervals:

Concave Downward

: 0 < x < \frac{1}{e ^{\frac{3}{2}}},

Concave Upward

: \frac{1}{e ^{\frac{3}{2}}} < x < \infty

Plug

x = \frac{1}{e ^{\frac{3}{2}}}

into

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

(\frac{1}{e ^{\frac{3}{2}}}, - \frac{3}{2 e ^{3}})

Graph

Popular Examples

parity f(x)=x^2+x^3

domain of f(x)=6x+1

midpoint (-4,9),(1,-6)

domain of f(x)= 1/((x-5))

domain of f(x)= x/(x^3-64)

Frequently Asked Questions (FAQ)

What is the inflection x^2ln(x) ?
The inflection x^2ln(x) is (1/(e^{3/2)},-3/(2e^3))