What is the inflection f(x)=xe^{-4pix} ?

The inflection f(x)=xe^{-4pix} is (1/(2pi), 1/(2e^2pi))

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inflection f(x)=xe^{-4pix}

inflection points

f (x) = x e^{- 4 π x}

(\frac{1}{2 π}, \frac{1}{2 e ^{2} π})

Solution steps

f^{''} (x) = 8 π e^{- 4 π x} (2 π x - 1)

Find intervals:

Concave Downward

: - \infty < x < \frac{1}{2 π}

Plug

x = \frac{1}{2 π}

into

x e^{- 4 π x} : \frac{1}{2 e ^{2} π}

(\frac{1}{2 π}, \frac{1}{2 e ^{2} π})

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

f (x) = \frac{( x + 19 )}{x - 17}

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

f (x) = - 2 x^{2} + 12 x - 20

7 x + 5 y = 1

What is the inflection f(x)=xe^{-4pix} ?
The inflection f(x)=xe^{-4pix} is (1/(2pi), 1/(2e^2pi))