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Popular >

inflection f(x)=-x^3+9x^2-53

Solution

inflection points

f (x) = - x^{3} + 9 x^{2} - 53

Solution

(3, 1)

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} - 53 : 1

(3, 1)

Popular Examples

domain of G(t)=-(13)/((4+t)^2)domain

G (t) = - \frac{13}{( 4 + t ) ^{2}}

distance (-5,-1),(4,2)distance

(- 5, - 1), (4, 2)

slope ofintercept 4x-5y=-10 slope intercept

4 x - 5 y = - 10

intercepts of f(x)=4^x intercepts

f (x) = 4^{x}

domain of (x^2)/(x+3)domain

\frac{x ^{2}}{x + 3}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=-x^3+9x^2-53 ?
The inflection f(x)=-x^3+9x^2-53 is (3,1)