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Popular Functions >

inflection f(x)=x^3-x^2+3

Solution

inflection points

f (x) = x^{3} - x^{2} + 3

Solution

(\frac{1}{3}, - \frac{2}{27} + 3)

Solution steps

f^{''} (x) = 6 x - 2

Find intervals:

Concave Downward

: - \infty < x < \frac{1}{3},

Concave Upward

: \frac{1}{3} < x < \infty

Plug

x = \frac{1}{3}

into

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

(\frac{1}{3}, - \frac{2}{27} + 3)

Graph

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Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^3-x^2+3 ?
The inflection f(x)=x^3-x^2+3 is (1/3 ,-2/27+3)