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Popular >

inflection (e^x)/(5+e^x)

Solution

inflection points

\frac{e ^{x}}{5 + e ^{x}}

Solution

(ln (5), \frac{1}{2})

Solution steps

f^{''} (x) = \frac{5 e ^{x} ( - e ^{x} + 5 )}{( 5 + e ^{x} ) ^{3}}

Find intervals:

Concave Upward

: - \infty < x < ln (5),

Concave Downward

: ln (5) < x < \infty

Plug

x = ln (5)

into

\frac{e ^{x}}{5 + e ^{x}} : \frac{1}{2}

(ln (5), \frac{1}{2})

Popular Examples

domain of (sqrt(1-x))(sqrt(25-x^2))domain

(1 - x) (25 - x^{2})

range of sqrt(2-x/(x-2))range

2 - \frac{x}{x - 2}

parity f(x)=x^2+3x parity

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

line (-7,6),(3,8)line

(- 7, 6), (3, 8)

asymptotes of f(x)=-9x^2+2x^3 asymptotes

f (x) = - 9 x^{2} + 2 x^{3}

Frequently Asked Questions (FAQ)

What is the inflection (e^x)/(5+e^x) ?
The inflection (e^x)/(5+e^x) is (ln(5), 1/2)