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Popular Functions >

inflection f(x)=(6-x)e^{-x}

Solution

inflection

Solution

(8, - \frac{2}{e ^{8}})

Solution steps

f^{''} (x) = - e^{- x} (x - 8)

Find intervals:

Concave Upward

: - \infty < x < 8,

Concave Downward

: 8 < x < \infty

Plug

x = 8

into

(6 - x) e^{- x} : - \frac{2}{e ^{8}}

(8, - \frac{2}{e ^{8}})

Graph

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Frequently Asked Questions (FAQ)

What is the inflection f(x)=(6-x)e^{-x} ?
The inflection f(x)=(6-x)e^{-x} is (8,-2/(e^8))