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Popular >

inflection f(x)=-x^3+9x^2-54

Solution

inflection points

f (x) = - x^{3} + 9 x^{2} - 54

Solution

(3, 0)

Solution steps

f^{''} (x) = - 6 x + 18

Find intervals:

Concave Upward

: - \infty < x < 3,

Concave Downward

: 3 < x < \infty

Plug

x = 3

into

- x^{3} + 9 x^{2} - 54 : 0

(3, 0)

Popular Examples

critical f(x)=x^4-2x^2+7 critical points

f (x) = x^{4} - 2 x^{2} + 7

domain of f(x)= 4/(x^2+10x-75)domain

f (x) = \frac{4}{x ^{2} + 10 x - 75}

domain of f(x)=(5x-2)/(2x^2+3x-20)domain

f (x) = \frac{5 x - 2}{2 x ^{2} + 3 x - 20}

distance (-1,-10),(7,3)distance

(- 1, - 10), (7, 3)

domain of 5/(sqrt(x+6))domain

\frac{5}{x + 6}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=-x^3+9x^2-54 ?
The inflection f(x)=-x^3+9x^2-54 is (3,0)