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Popular Functions >

inflection f(x)=x^4-4x^3+5

Solution

inflection points

f (x) = x^{4} - 4 x^{3} + 5

Solution

(0, 5), (2, - 11)

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} + 5 : 5

(0, 5)

Plug

x = 2

into

x^{4} - 4 x^{3} + 5 : - 11

(2, - 11)

(0, 5), (2, - 11)

Graph

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Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^4-4x^3+5 ?
The inflection f(x)=x^4-4x^3+5 is (0,5),(2,-11)