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Popular Functions >

inflection x^3-2x^2-4x+4

Solution

inflection points

x^{3} - 2 x^{2} - 4 x + 4

Solution

(\frac{2}{3}, \frac{20}{27})

Solution steps

f^{''} (x) = 6 x - 4

Find intervals:

Concave Downward

: - \infty < x < \frac{2}{3},

Concave Upward

: \frac{2}{3} < x < \infty

Plug

x = \frac{2}{3}

into

x^{3} - 2 x^{2} - 4 x + 4 : \frac{20}{27}

(\frac{2}{3}, \frac{20}{27})

Graph

Popular Examples

monotone f(x)=(x+3)^{2/3}

inflection f(x)=x^2e^{7x}

parity sqrt(4x^2e^{x^4)+1}

critical f(x)=x^3-3x^2-9x+4

asymptotes of f(x)=-2+1/x

Frequently Asked Questions (FAQ)

What is the inflection x^3-2x^2-4x+4 ?
The inflection x^3-2x^2-4x+4 is (2/3 , 20/27)