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Popular >

inflection (e^x)/(7+e^x)

Solution

inflection points

\frac{e ^{x}}{7 + e ^{x}}

Solution

(ln (7), \frac{1}{2})

Solution steps

f^{''} (x) = \frac{7 e ^{x} ( - e ^{x} + 7 )}{( 7 + e ^{x} ) ^{3}}

Find intervals:

Concave Upward

: - \infty < x < ln (7),

Concave Downward

: ln (7) < x < \infty

Plug

x = ln (7)

into

\frac{e ^{x}}{7 + e ^{x}} : \frac{1}{2}

(ln (7), \frac{1}{2})

Popular Examples

domain of 3x^2-5x domain

3 x^{2} - 5 x

intercepts of f(x)=3x^2-22x-16 intercepts

f (x) = 3 x^{2} - 22 x - 16

inverse of f(x)=-x^2 inverse

f (x) = - x^{2}

asymptotes of f(x)=(3x)/(x+1)asymptotes

f (x) = \frac{3 x}{x + 1}

slope of 4x-y=0 slope

4 x - y = 0

Frequently Asked Questions (FAQ)

What is the inflection (e^x)/(7+e^x) ?
The inflection (e^x)/(7+e^x) is (ln(7), 1/2)