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Popular >

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})

Popular Examples

inflection (x^2+x+1)/x inflection points

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

symmetry-2(x-6)^2-4 symmetry

- 2 (x - 6)^{2} - 4

inverse of f(x)=(sqrt(2x-3))/5 inverse

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

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

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

inverse of f(x)=11x^3-5 inverse

f (x) = 11 x^{3} - 5

Frequently Asked Questions (FAQ)

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