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

The inflection f(x)=2x^4-2x^3+3 is (0,3),(1/2 , 23/8)

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

inflection points

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

(0, 3), (\frac{1}{2}, \frac{23}{8})

Solution steps

f^{''} (x) = 24 x^{2} - 12 x

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < \frac{1}{2},

Concave Upward

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

Plug

x = 0

into

2 x^{4} - 2 x^{3} + 3 : 3

(0, 3)

Plug

x = \frac{1}{2}

into

2 x^{4} - 2 x^{3} + 3 : \frac{23}{8}

(\frac{1}{2}, \frac{23}{8})

(0, 3), (\frac{1}{2}, \frac{23}{8})

f (x) = \frac{x + 8}{x ^{2} - 16}

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

y = 7 x + 14

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

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

What is the inflection f(x)=2x^4-2x^3+3 ?
The inflection f(x)=2x^4-2x^3+3 is (0,3),(1/2 , 23/8)