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Popular >

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}})

Popular Examples

asymptotes of f(x)=(6x-7)/(11x+8)asymptotes

f (x) = \frac{6 x - 7}{11 x + 8}

domain of g(x)=sqrt(1-x)domain

g (x) = 1 - x

simplify (2.1)(4.5)simplify

(2.1) (4.5)

critical f(x)=(x+3)(x-1)^2 critical points

f (x) = (x + 3) (x - 1)^{2}

range of (x-2)^2+3 range

(x - 2)^{2} + 3

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))