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Popular Functions >

inflection f(x)=x^4-4x^3+3

Solution

inflection points

f (x) = x^{4} - 4 x^{3} + 3

Solution

(0, 3), (2, - 13)

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} + 3 : 3

(0, 3)

Plug

x = 2

into

x^{4} - 4 x^{3} + 3 : - 13

(2, - 13)

(0, 3), (2, - 13)

Graph

Popular Examples

perpendicular y=-3/4 x

inverse of f(x)=8x^3+1

inverse of f(x)= 1/(x-2)

inverse of f(x)= 2/3 x+2

domain of f(x)=4x-3x^2

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^4-4x^3+3 ?
The inflection f(x)=x^4-4x^3+3 is (0,3),(2,-13)