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Popular >

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

Solution

inflection points

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

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)

Popular Examples

inverse of f(x)=(7x-4)/8 inverse

f (x) = \frac{7 x - 4}{8}

perpendicular 5x-6y=4,(3,5)perpendicular

5 x - 6 y = 4, (3, 5)

periodicity of y= 8/9 cos((pix)/4)periodicity

y = \frac{8}{9} cos (\frac{π x}{4})

distance (1,2),(3,4)distance

(1, 2), (3, 4)

domain of f(x)=3x^3+4x domain

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

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)