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Popular Functions >

inflection ((e^x))/(8+e^x)

Solution

inflection points

\frac{( e ^{x} )}{8 + e ^{x}}

Solution

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

Solution steps

f^{''} (x) = \frac{8 e ^{x} ( - e ^{x} + 8 )}{( 8 + e ^{x} ) ^{3}}

Find intervals:

Concave Upward

: - \infty < x < 3 ln (2),

Concave Downward

: 3 ln (2) < x < \infty

Plug

x = 3 ln (2)

into

\frac{e ^{x}}{8 + e ^{x}} : \frac{1}{2}

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

Graph

Popular Examples

domain of log_{2}(x)

line (-1,1),(1,-5)

inverse of f(x)=4+sqrt(4x-5)

asymptotes of f(x)=(sqrt(x^2+1))/(x+1)

line y=-4/5 x-4

Frequently Asked Questions (FAQ)

What is the inflection ((e^x))/(8+e^x) ?
The inflection ((e^x))/(8+e^x) is (3ln(2), 1/2)