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Popular >

inflection x(x-4)^3

Solution

inflection points

x (x - 4)^{3}

Solution

(2, - 16), (4, 0)

Solution steps

f^{''} (x) = 4 (3 x^{2} - 18 x + 24)

Find intervals:

Concave Upward

: - \infty < x < 2,

Concave Downward

: 2 < x < 4,

Concave Upward

: 4 < x < \infty

Plug

x = 2

into

x (x - 4)^{3} : - 16

(2, - 16)

Plug

x = 4

into

x (x - 4)^{3} : 0

(4, 0)

(2, - 16), (4, 0)

Popular Examples

inverse of f(x)= 5/(\sqrt[3]{x-2)}inverse

range of f(x)=(1/8)^x range

f (x) = (\frac{1}{8})^{x}

domain of f(x)= 4/(1-e^x)domain

f (x) = \frac{4}{1 - e ^{x}}

domain of (4-x)/(x(x-3))domain

\frac{4 - x}{x ( x - 3 )}

intercepts of y=-1/4 x+2 intercepts

y = - \frac{1}{4} x + 2

Frequently Asked Questions (FAQ)

What is the inflection x(x-4)^3 ?
The inflection x(x-4)^3 is (2,-16),(4,0)