What is the inflection f(x)=-2x^6+15x^5 ?

The inflection f(x)=-2x^6+15x^5 is (0,0),(5,15625)

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inflection f(x)=-2x^6+15x^5

inflection points

f (x) = - 2 x^{6} + 15 x^{5}

(0, 0), (5, 15625)

Solution steps

f^{''} (x) = - 60 x^{4} + 300 x^{3}

Find intervals:

Concave Downward

: - \infty < x < 0,

Concave Upward

: 0 < x < 5,

Concave Downward

: 5 < x < \infty

Plug

x = 0

into

- 2 x^{6} + 15 x^{5} : 0

(0, 0)

Plug

x = 5

into

- 2 x^{6} + 15 x^{5} : 15625

(5, 15625)

(0, 0), (5, 15625)

\frac{x - 3}{4 + 5 x}

m = - 2, (2, - 4)

f (x) = 6 x^{4} + 16 x^{3}

3 x + 2 y = 12

0.00225 x^{2} + 5999.9325 x + 0.50625

What is the inflection f(x)=-2x^6+15x^5 ?
The inflection f(x)=-2x^6+15x^5 is (0,0),(5,15625)