What is the inflection f(x)=x^3-7x^2-24x+7 ?

The inflection f(x)=x^3-7x^2-24x+7 is (7/3 ,-2009/27)

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inflection f(x)=x^3-7x^2-24x+7

inflection

(\frac{7}{3}, - \frac{2009}{27})

Solution steps

f^{''} (x) = 6 x - 14

Find intervals:

Concave Downward

: - \infty < x < \frac{7}{3},

Concave Upward

: \frac{7}{3} < x < \infty

Plug

x = \frac{7}{3}

into

x^{3} - 7 x^{2} - 24 x + 7 : - \frac{2009}{27}

(\frac{7}{3}, - \frac{2009}{27})

What is the inflection f(x)=x^3-7x^2-24x+7 ?
The inflection f(x)=x^3-7x^2-24x+7 is (7/3 ,-2009/27)