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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)

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

inverse of f(x)= 1/2 x+9 inverse

f (x) = \frac{1}{2} x + 9

domain of f(x)=sqrt(5x+35)domain

f (x) = 5 x + 35

domain of f(x)=(x-3)/(x^3+5x)domain

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

domain of f(x)=-1/(x+5)-2 domain

f (x) = - \frac{1}{x + 5} - 2

domain of f(x)=sqrt(1/x)domain

f (x) = \frac{1}{x}

Frequently Asked Questions (FAQ)

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