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Popular >

inflection f(x)=x(x-8)^3

Solution

inflection points

f (x) = x (x - 8)^{3}

Solution

(4, - 256), (8, 0)

Solution steps

f^{''} (x) = 4 (3 x^{2} - 36 x + 96)

Find intervals:

Concave Upward

: - \infty < x < 4,

Concave Downward

: 4 < x < 8,

Concave Upward

: 8 < x < \infty

Plug

x = 4

into

x (x - 8)^{3} : - 256

(4, - 256)

Plug

x = 8

into

x (x - 8)^{3} : 0

(8, 0)

(4, - 256), (8, 0)

Popular Examples

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domain of x^3+1 domain

x^{3} + 1

inverse of f(x)=sqrt(64-x^2)inverse

f (x) = 64 - x^{2}

inverse of sin^2(x)inverse

sin^{2} (x)

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x(x-8)^3 ?
The inflection f(x)=x(x-8)^3 is (4,-256),(8,0)