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Popular >

inflection f(x)=-x^3+9x^2-52

Solution

inflection points

f (x) = - x^{3} + 9 x^{2} - 52

Solution

(3, 2)

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} - 52 : 2

(3, 2)

Popular Examples

range of 1/(x^2)range

\frac{1}{x ^{2}}

domain of f(x)=5sqrt(x-3)domain

f (x) = 5 x - 3

domain of (x^2+5)/2 domain

\frac{x ^{2} + 5}{2}

inverse of h(x)= 5/7 x^5-3 inverse

h (x) = \frac{5}{7} x^{5} - 3

domain of f(x)=(4x^2+1)/(x^2-9)domain

f (x) = \frac{4 x ^{2} + 1}{x ^{2} - 9}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=-x^3+9x^2-52 ?
The inflection f(x)=-x^3+9x^2-52 is (3,2)