What is the inflection f(x)= 3/20 x^5-2x^4 ?

The inflection f(x)= 3/20 x^5-2x^4 is (8,-16384/5)

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inflection f(x)= 3/20 x^5-2x^4

inflection points

f (x) = \frac{3}{20} x^{5} - 2 x^{4}

(8, - \frac{16384}{5})

Solution steps

f^{''} (x) = 3 x^{3} - 24 x^{2}

Find intervals:

Concave Downward

: - \infty < x < 0,

Concave Downward

: 0 < x < 8,

Concave Upward

: 8 < x < \infty

Plug

x = 8

into

\frac{3}{20} x^{5} - 2 x^{4} : - \frac{16384}{5}

(8, - \frac{16384}{5})

f (x) = 4 - 12 x^{2} + \frac{1}{16} x^{4}

y = \frac{( 3 x - 4 )}{- 2 x + 2}

y = x^{2} - 2

f (x) = 9 x + 3

What is the inflection f(x)= 3/20 x^5-2x^4 ?
The inflection f(x)= 3/20 x^5-2x^4 is (8,-16384/5)