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Popular >

inflection (e^x)/(6+e^x)

Solution

inflection points

\frac{e ^{x}}{6 + e ^{x}}

Solution

(ln (6), \frac{1}{2})

Solution steps

f^{''} (x) = \frac{6 e ^{x} ( - e ^{x} + 6 )}{( 6 + e ^{x} ) ^{3}}

Find intervals:

Concave Upward

: - \infty < x < ln (6),

Concave Downward

: ln (6) < x < \infty

Plug

x = ln (6)

into

\frac{e ^{x}}{6 + e ^{x}} : \frac{1}{2}

(ln (6), \frac{1}{2})

Popular Examples

amplitude of-3sin(2x+pi/2)amplitude

- 3 sin (2 x + \frac{π}{2})

y = 8

slope ofintercept x-3y=5 slope intercept

x - 3 y = 5

range of y=x^3 range

y = x^{3}

critical f(x)=2x^4-3x^3+x^2 critical points

f (x) = 2 x^{4} - 3 x^{3} + x^{2}

Frequently Asked Questions (FAQ)

What is the inflection (e^x)/(6+e^x) ?
The inflection (e^x)/(6+e^x) is (ln(6), 1/2)