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Popular >

inflection x^4-8x^3

Solution

inflection points

x^{4} - 8 x^{3}

Solution

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

Solution steps

f^{''} (x) = 12 x^{2} - 48 x

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < 4,

Concave Upward

: 4 < x < \infty

Plug

x = 0

into

x^{4} - 8 x^{3} : 0

(0, 0)

Plug

x = 4

into

x^{4} - 8 x^{3} : - 256

(4, - 256)

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

Popular Examples

extreme f(x)=ln(3-4x^2)extreme points

f (x) = ln (3 - 4 x^{2})

extreme f(x)=2x^3+3x^2+1 extreme points

f (x) = 2 x^{3} + 3 x^{2} + 1

critical (2x-x^2)e^x critical points

(2 x - x^{2}) e^{x}

domain of f(x)=(sqrt(x+3))/(x-3)domain

f (x) = \frac{x + 3}{x - 3}

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

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

Frequently Asked Questions (FAQ)

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