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Popular Functions >

inflection (2x-1)/(x^2)

Solution

inflection points

\frac{2 x - 1}{x ^{2}}

Solution

(\frac{3}{2}, \frac{8}{9})

Solution steps

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

Find intervals:

Concave Downward

: - \infty < x < 0,

Concave Downward

: 0 < x < \frac{3}{2},

Concave Upward

: \frac{3}{2} < x < \infty

Plug

x = \frac{3}{2}

into

\frac{2 x - 1}{x ^{2}} : \frac{8}{9}

(\frac{3}{2}, \frac{8}{9})

Graph

Popular Examples

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intercepts of f(x)=y^2=8x+5

Frequently Asked Questions (FAQ)

What is the inflection (2x-1)/(x^2) ?
The inflection (2x-1)/(x^2) is (3/2 , 8/9)