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Popular Functions >

inflection (e^x)/(3+e^x)

Solution

inflection points

\frac{e ^{x}}{3 + e ^{x}}

Solution

(ln (3), \frac{1}{2})

Solution steps

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

Find intervals:

Concave Upward

: - \infty < x < ln (3),

Concave Downward

: ln (3) < x < \infty

Plug

x = ln (3)

into

\frac{e ^{x}}{3 + e ^{x}} : \frac{1}{2}

(ln (3), \frac{1}{2})

Graph

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Frequently Asked Questions (FAQ)

What is the inflection (e^x)/(3+e^x) ?
The inflection (e^x)/(3+e^x) is (ln(3), 1/2)