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Popular >

inflection (e^x-e^{-x})/9

Solution

inflection points

\frac{e ^{x} - e ^{- x}}{9}

Solution

(0, 0)

Solution steps

f^{''} (x) = \frac{1}{9} (e^{x} - e^{- x})

Find intervals:

Concave Downward

: - \infty < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = 0

into

\frac{e ^{x} - e ^{- x}}{9} : 0

(0, 0)

Popular Examples

asymptotes of f(x)=(-3x+15)/(x^2-5x)asymptotes

f (x) = \frac{- 3 x + 15}{x ^{2} - 5 x}

slope ofintercept x+2y=10 slope intercept

x + 2 y = 10

slope of (2(-1)-3)/(2(-1)+5)slope

\frac{2 ( - 1 ) - 3}{2 ( - 1 ) + 5}

monotone f(x)= 1/3 x^3-3/x x^2 monotone intervals

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

asymptotes of (2x^2-2x-24)/(x^2-4x+3)asymptotes

\frac{2 x ^{2} - 2 x - 24}{x ^{2} - 4 x + 3}

Frequently Asked Questions (FAQ)

What is the inflection (e^x-e^{-x})/9 ?
The inflection (e^x-e^{-x})/9 is (0,0)