What is the inflection x^3-15/2 x^2-18x-1 ?

The inflection x^3-15/2 x^2-18x-1 is (5/2 ,-309/4)

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inflection x^3-15/2 x^2-18x-1

inflection points

x^{3} - \frac{15}{2} x^{2} - 18 x - 1

(\frac{5}{2}, - \frac{309}{4})

Solution steps

f^{''} (x) = 6 x - 15

Find intervals:

Concave Downward

: - \infty < x < \frac{5}{2},

Concave Upward

: \frac{5}{2} < x < \infty

Plug

x = \frac{5}{2}

into

x^{3} - \frac{15}{2} x^{2} - 18 x - 1 : - \frac{309}{4}

(\frac{5}{2}, - \frac{309}{4})

What is the inflection x^3-15/2 x^2-18x-1 ?
The inflection x^3-15/2 x^2-18x-1 is (5/2 ,-309/4)