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Popular Functions >

inflection f(x)=-x^3+6x^2-9x+1

Solution

inflection points

f (x) = - x^{3} + 6 x^{2} - 9 x + 1

Solution

(2, - 1)

Solution steps

f^{''} (x) = - 6 x + 12

Find intervals:

Concave Upward

: - \infty < x < 2,

Concave Downward

: 2 < x < \infty

Plug

x = 2

into

- x^{3} + 6 x^{2} - 9 x + 1 : - 1

(2, - 1)

Graph

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Frequently Asked Questions (FAQ)

What is the inflection f(x)=-x^3+6x^2-9x+1 ?
The inflection f(x)=-x^3+6x^2-9x+1 is (2,-1)