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Popular >

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

Solution

inflection points

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

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}})

Popular Examples

intercepts of f(x)=2x^2-13x-7 intercepts

f (x) = 2 x^{2} - 13 x - 7

asymptotes of (x^2)/(x-1)asymptotes

\frac{x ^{2}}{x - 1}

simplify (3.2)(-2.6)simplify

(3.2) (- 2.6)

midpoint (3,-3),(5,3)midpoint

(3, - 3), (5, 3)

domain of 2^x-2 domain

2^{x} - 2

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))