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Popular Functions >

inflection (2-x)e^{-x}

Solution

inflection points

(2 - x) e^{- x}

Solution

(4, - \frac{2}{e ^{4}})

Solution steps

f^{''} (x) = - e^{- x} (x - 4)

Find intervals:

Concave Upward

: - \infty < x < 4,

Concave Downward

: 4 < x < \infty

Plug

x = 4

into

(2 - x) e^{- x} : - \frac{2}{e ^{4}}

(4, - \frac{2}{e ^{4}})

Graph

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Frequently Asked Questions (FAQ)

What is the inflection (2-x)e^{-x} ?
The inflection (2-x)e^{-x} is (4,-2/(e^4))