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

The inflection f(x)=3x^4-4x^3 is (0,0),(2/3 ,-16/27)

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

inflection points

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

(0, 0), (\frac{2}{3}, - \frac{16}{27})

Solution steps

f^{''} (x) = 36 x^{2} - 24 x

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < \frac{2}{3},

Concave Upward

: \frac{2}{3} < x < \infty

Plug

x = 0

into

3 x^{4} - 4 x^{3} : 0

(0, 0)

Plug

x = \frac{2}{3}

into

3 x^{4} - 4 x^{3} : - \frac{16}{27}

(\frac{2}{3}, - \frac{16}{27})

(0, 0), (\frac{2}{3}, - \frac{16}{27})

What is the inflection f(x)=3x^4-4x^3 ?
The inflection f(x)=3x^4-4x^3 is (0,0),(2/3 ,-16/27)