What is the inflection 4x^3-33x^2+84x-60 ?

The inflection 4x^3-33x^2+84x-60 is (11/4 , 37/8)

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inflection 4x^3-33x^2+84x-60

inflection points

4 x^{3} - 33 x^{2} + 84 x - 60

(\frac{11}{4}, \frac{37}{8})

Solution steps

f^{''} (x) = 24 x - 66

Find intervals:

Concave Downward

: - \infty < x < \frac{11}{4},

Concave Upward

: \frac{11}{4} < x < \infty

Plug

x = \frac{11}{4}

into

4 x^{3} - 33 x^{2} + 84 x - 60 : \frac{37}{8}

(\frac{11}{4}, \frac{37}{8})

What is the inflection 4x^3-33x^2+84x-60 ?
The inflection 4x^3-33x^2+84x-60 is (11/4 , 37/8)