What is the inflection-x^6+42x^5-42x+17 ?

The inflection-x^6+42x^5-42x+17 is (0,17),(28,240943993)

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inflection-x^6+42x^5-42x+17

inflection points

- x^{6} + 42 x^{5} - 42 x + 17

(0, 17), (28, 240943993)

Solution steps

f^{''} (x) = - 30 x^{4} + 840 x^{3}

Find intervals:

Concave Downward

: - \infty < x < 0,

Concave Upward

: 0 < x < 28,

Concave Downward

: 28 < x < \infty

Plug

x = 0

into

- x^{6} + 42 x^{5} - 42 x + 17 : 17

(0, 17)

Plug

x = 28

into

- x^{6} + 42 x^{5} - 42 x + 17 : 240943993

(28, 240943993)

(0, 17), (28, 240943993)

(4, 2), (0, 4)

\frac{5 x}{7 x - 2}

\frac{x ^{2}}{x ^{2} + 3}

f (x) = 6 x^{4}

f (x) = \frac{1}{2} (x - 1)^{2} - 5

What is the inflection-x^6+42x^5-42x+17 ?
The inflection-x^6+42x^5-42x+17 is (0,17),(28,240943993)