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

The inflection f(x)=x^5-20x^2 is (\sqrt[3]{2},-18*2^{2/3})

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inflection f(x)=x^5-20x^2

inflection points

f (x) = x^{5} - 20 x^{2}

(32, - 18 \cdot 2^{\frac{2}{3}})

Solution steps

f^{''} (x) = 20 x^{3} - 40

Find intervals:

Concave Downward

: - \infty < x < 32,

Concave Upward

: 32 < x < \infty

Plug

x = 32

into

x^{5} - 20 x^{2} : - 18 \cdot 2^{\frac{2}{3}}

(32, - 18 \cdot 2^{\frac{2}{3}})

f (x) = \frac{x + 5}{x ^{2} - 36}

f (x) = 2 x^{2} + 7 x - 15

f (x) = \frac{x + 1}{x ^{2} + x - 6}

f (x) = lo g_{5} (x - 6) + 2

f (x) = 27 x^{3} + 1

What is the inflection f(x)=x^5-20x^2 ?
The inflection f(x)=x^5-20x^2 is (\sqrt[3]{2},-18*2^{2/3})