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Popular Functions >

inflection (x-2)^3(x-1)

Solution

inflection

Solution

(\frac{3}{2}, - \frac{1}{16}), (2, 0)

Solution steps

f^{''} (x) = 6 (x - 2) (2 x - 3)

Find intervals:

Concave Upward

: - \infty < x < \frac{3}{2},

Concave Downward

: \frac{3}{2} < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = \frac{3}{2}

into

(x - 2)^{3} (x - 1) : - \frac{1}{16}

(\frac{3}{2}, - \frac{1}{16})

Plug

x = 2

into

(x - 2)^{3} (x - 1) : 0

(2, 0)

(\frac{3}{2}, - \frac{1}{16}), (2, 0)

Graph

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Frequently Asked Questions (FAQ)

What is the inflection (x-2)^3(x-1) ?
The inflection (x-2)^3(x-1) is (3/2 ,-1/16),(2,0)