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Popular Functions >

inflection x^4-4x^3+6

Solution

inflection points

x^{4} - 4 x^{3} + 6

Solution

(0, 6), (2, - 10)

Solution steps

f^{''} (x) = 12 x^{2} - 24 x

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = 0

into

x^{4} - 4 x^{3} + 6 : 6

(0, 6)

Plug

x = 2

into

x^{4} - 4 x^{3} + 6 : - 10

(2, - 10)

(0, 6), (2, - 10)

Graph

Popular Examples

inflection f(x)=(x^3)/3-x^2-8x

domain of f(x)=(\sqrt[4]{x})^7

perpendicular 3/4 x

extreme f(x)=x^8e^x-7

Frequently Asked Questions (FAQ)

What is the inflection x^4-4x^3+6 ?
The inflection x^4-4x^3+6 is (0,6),(2,-10)