en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inflection f(x)=(e^x-e^{-x})/2

Solution

inflection points

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

Solution

(0, 0)

Solution steps

f^{''} (x) = \frac{1}{2} (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}}{2} : 0

(0, 0)

Popular Examples

y = \frac{x}{x ^{2} + 1}

range of f(x)=-sqrt(x)+2 range

f (x) = - x + 2

inverse of f(x)=2^{3-x}-7 inverse

f (x) = 2^{3 - x} - 7

domain of f(x)=(x/(1+x))/(1+x/(1+x))domain

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

symmetry x^2-2 symmetry

x^{2} - 2

Frequently Asked Questions (FAQ)

What is the inflection f(x)=(e^x-e^{-x})/2 ?
The inflection f(x)=(e^x-e^{-x})/2 is (0,0)