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Popular Functions >

inflection 2+x^2ln(x)

Solution

inflection points

2 + x^{2} ln (x)

Solution

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

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

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

Graph

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Frequently Asked Questions (FAQ)

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