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Popular >

inflection f(x)=xe^x

Solution

inflection points

f (x) = 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

distance (4,2),(1,-2)distance

(4, 2), (1, - 2)

extreme f(x)=-1.8 extreme points

f (x) = - 1.8

line (4,17),(-1,-13)line

(4, 17), (- 1, - 13)

periodicity of f(x)=3cos((2pix)/5)periodicity

f (x) = 3 cos (\frac{2 π x}{5})

inverse of f(x)=(x-9)^2 inverse

f (x) = (x - 9)^{2}

Frequently Asked Questions (FAQ)

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