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Popular >

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})

Popular Examples

slope ofintercept 5x+5y=15 slope intercept

5 x + 5 y = 15

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

f (x) = \frac{5}{4} x^{2} - 12 x + 34

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

f (x) = \frac{x + 2}{x ^{2} - 2 x - 8}

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

f (x) = - x^{3} - 3 x^{2} - 1

perpendicular y=-5/2 x+4 perpendicular

y = - \frac{5}{2} x + 4

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)