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Popular Functions >

inflection (e^x)/(4+e^x)

Solution

inflection points

\frac{e ^{x}}{4 + e ^{x}}

Solution

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

Solution steps

f^{''} (x) = \frac{4 e ^{x} ( - e ^{x} + 4 )}{( 4 + e ^{x} ) ^{3}}

Find intervals:

Concave Upward

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

Concave Downward

: 2 ln (2) < x < \infty

Plug

x = 2 ln (2)

into

\frac{e ^{x}}{4 + e ^{x}} : \frac{1}{2}

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

Graph

Popular Examples

slope ofintercept 5x+5y=15

extreme f(x)= 5/4 x^2-12x+34

domain of f(x)=(sqrt(x+2))/(x^2-2x-8)

extreme f(x)=-x^3-3x^2-1

Frequently Asked Questions (FAQ)

What is the inflection (e^x)/(4+e^x) ?
The inflection (e^x)/(4+e^x) is (2ln(2), 1/2)