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Popular >

inflection xe^x

Solution

inflection points

x e^{x}

Solution

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

Solution steps

f^{''} (x) = e^{x} x + 2 e^{x}

Find intervals:

Concave Downward

: - \infty < x < - 2,

Concave Upward

: - 2 < x < \infty

Plug

x = - 2

into

x e^{x} : - \frac{2}{e ^{2}}

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

Popular Examples

asymptotes of f(x)= 5/(x+3)asymptotes

f (x) = \frac{5}{x + 3}

critical f(x)=2t^{2/3}+t^{5/3}critical points

f (x) = 2 t^{\frac{2}{3}} + t^{\frac{5}{3}}

inverse of f(x)=5+\sqrt[3]{x}inverse

inverse of f(x)= 3/(sqrt(1-x^2))inverse

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

domain of (sqrt(x+1))/(sqrt(x-4))domain

\frac{x + 1}{x - 4}

Frequently Asked Questions (FAQ)

What is the inflection xe^x ?
The inflection xe^x is (-2,-2/(e^2))