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Popular >

inflection f(x)=(5-x)e^{-x}

Solution

inflection points

f (x) = (5 - x) e^{- x}

Solution

(7, - \frac{2}{e ^{7}})

Solution steps

f^{''} (x) = - e^{- x} (x - 7)

Find intervals:

Concave Upward

: - \infty < x < 7,

Concave Downward

: 7 < x < \infty

Plug

x = 7

into

(5 - x) e^{- x} : - \frac{2}{e ^{7}}

(7, - \frac{2}{e ^{7}})

Popular Examples

critical (e^x-e^{-x})/9 critical points

\frac{e ^{x} - e ^{- x}}{9}

domain of f(x)= 1/(x-x^2)domain

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

inverse of f(x)=(x-2)^3 inverse

f (x) = (x - 2)^{3}

range of (x+9)/x range

\frac{x + 9}{x}

domain of sqrt((7x+2x)/x)domain

\frac{7 x + 2 x}{x}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=(5-x)e^{-x} ?
The inflection f(x)=(5-x)e^{-x} is (7,-2/(e^7))