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Popular >

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)

Popular Examples

midpoint (0,-4),(-4,2)midpoint

(0, - 4), (- 4, 2)

monotone f(x)= 1/(x-2)+1 monotone intervals

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

domain of f(x)= 4/x-6/(x+6)domain

f (x) = \frac{4}{x} - \frac{6}{x + 6}

domain of sqrt(x+10)+3 domain

x + 10 + 3

asymptotes of-cos^2(X)asymptotes

- cos^{2} (X)

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)