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Popular >

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})

Popular Examples

inverse of f(x)=(5x-6)/(2x+1)inverse

f (x) = \frac{5 x - 6}{2 x + 1}

f (x) = \frac{x}{3}

domain of sqrt(x^2+3x+7)domain

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inverse of f(x)= 1/2 x-3/2 inverse

f (x) = \frac{1}{2} x - \frac{3}{2}

domain of f(x)=(sqrt(4-x^2))/(x^2-1)domain

f (x) = \frac{4 - x ^{2}}{x ^{2} - 1}

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)