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

The inflection f(x)=4x^3-6x^2+5x-6 is (1/2 ,-9/2)

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

inflection points

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

(\frac{1}{2}, - \frac{9}{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 - 6 : - \frac{9}{2}

(\frac{1}{2}, - \frac{9}{2})

y = 2 x + 5

f (x) = \frac{x ^{2} - 2 x}{x ^{3} - 16 x}

f (x) = - x^{2} - 2 x - 4

f (x) = x^{2} + 8

f (x) = 2 x^{2} - 12 x + 16

What is the inflection f(x)=4x^3-6x^2+5x-6 ?
The inflection f(x)=4x^3-6x^2+5x-6 is (1/2 ,-9/2)