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Popular >

inflection 3x(x-2)^3

Solution

inflection points

3 x (x - 2)^{3}

Solution

(1, - 3), (2, 0)

Solution steps

f^{''} (x) = 3 (12 x^{2} - 36 x + 24)

Find intervals:

Concave Upward

: - \infty < x < 1,

Concave Downward

: 1 < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = 1

into

3 x (x - 2)^{3} : - 3

(1, - 3)

Plug

x = 2

into

3 x (x - 2)^{3} : 0

(2, 0)

(1, - 3), (2, 0)

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Frequently Asked Questions (FAQ)

What is the inflection 3x(x-2)^3 ?
The inflection 3x(x-2)^3 is (1,-3),(2,0)