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Popular >

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

Solution

inflection points

\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

periodicity of f(t)=-5sin(7t-1)periodicity

f (t) = - 5 sin (7 t - 1)

inflection f(x)=x^2+2x+1 inflection points

f (x) = x^{2} + 2 x + 1

line y=x+4 line

y = x + 4

asymptotes of f(x)=3^x-6 asymptotes

f (x) = 3^{x} - 6

inverse of f(x)=(2x+9)/(x+2)inverse

f (x) = \frac{2 x + 9}{x + 2}

Frequently Asked Questions (FAQ)

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