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Popular Functions >

inflection f(x)=x^4-4x^3+9

Solution

inflection points

f (x) = x^{4} - 4 x^{3} + 9

Solution

(0, 9), (2, - 7)

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} + 9 : 9

(0, 9)

Plug

x = 2

into

x^{4} - 4 x^{3} + 9 : - 7

(2, - 7)

(0, 9), (2, - 7)

Graph

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intercepts of f(x)=-(x+1)^2

slope ofintercept y+6=-9x

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^4-4x^3+9 ?
The inflection f(x)=x^4-4x^3+9 is (0,9),(2,-7)