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Popular >

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}})

Popular Examples

inverse of f(x)=(3x+2)/(5x)inverse

f (x) = \frac{3 x + 2}{5 x}

domain of (5x)/(ln(x^2-4))domain

\frac{5 x}{ln ( x ^{2} - 4 )}

extreme f(x)=-0.3x^2+2.4x+98.6 extreme points

f (x) = - 0.3 x^{2} + 2.4 x + 98.6

asymptotes of f(x)=(9-3x)/(x-10)asymptotes

f (x) = \frac{9 - 3 x}{x - 10}

symmetry y=(x^9)/(81-x^2)symmetry

y = \frac{x ^{9}}{81 - x ^{2}}

Frequently Asked Questions (FAQ)

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