What is the inflection f(x)=4x^3-6x^2+5x-2 ?

The inflection f(x)=4x^3-6x^2+5x-2 is (1/2 ,-1/2)

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inflection f(x)=4x^3-6x^2+5x-2

inflection points

f (x) = 4 x^{3} - 6 x^{2} + 5 x - 2

(\frac{1}{2}, - \frac{1}{2})

Solution steps

f^{''} (x) = 24 x - 12

Find intervals:

Concave Downward

: - \infty < x < \frac{1}{2},

Concave Upward

: \frac{1}{2} < x < \infty

Plug

x = \frac{1}{2}

into

4 x^{3} - 6 x^{2} + 5 x - 2 : - \frac{1}{2}

(\frac{1}{2}, - \frac{1}{2})

\frac{3}{x - 5}

\frac{8}{x ^{2} - 81}

f (x) = x^{\frac{1}{7}} (x + 8)

f (x) = \frac{5}{x - 7}

x = - 1, (0, 0)

What is the inflection f(x)=4x^3-6x^2+5x-2 ?
The inflection f(x)=4x^3-6x^2+5x-2 is (1/2 ,-1/2)