What is the inflection f(x)=x^3-4x^2+5x-2 ?

The inflection f(x)=x^3-4x^2+5x-2 is (4/3 ,-2/27)

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inflection f(x)=x^3-4x^2+5x-2

inflection points

f (x) = x^{3} - 4 x^{2} + 5 x - 2

(\frac{4}{3}, - \frac{2}{27})

Solution steps

f^{''} (x) = 6 x - 8

Find intervals:

Concave Downward

: - \infty < x < \frac{4}{3},

Concave Upward

: \frac{4}{3} < x < \infty

Plug

x = \frac{4}{3}

into

x^{3} - 4 x^{2} + 5 x - 2 : - \frac{2}{27}

(\frac{4}{3}, - \frac{2}{27})

\frac{x - 4}{x + 7}

y = x^{2} + 3

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

f (t) = t^{4} - 20 t^{3} + 112 t^{2}

f (x) = \frac{x}{x ^{2} - 16 x + 48}

What is the inflection f(x)=x^3-4x^2+5x-2 ?
The inflection f(x)=x^3-4x^2+5x-2 is (4/3 ,-2/27)