What is the inflection f(x)=4x^3-5x^2+5x-7 ?

The inflection f(x)=4x^3-5x^2+5x-7 is (5/12 ,-1187/216)

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inflection f(x)=4x^3-5x^2+5x-7

inflection points

f (x) = 4 x^{3} - 5 x^{2} + 5 x - 7

(\frac{5}{12}, - \frac{1187}{216})

Solution steps

f^{''} (x) = 24 x - 10

Find intervals:

Concave Downward

: - \infty < x < \frac{5}{12},

Concave Upward

: \frac{5}{12} < x < \infty

Plug

x = \frac{5}{12}

into

4 x^{3} - 5 x^{2} + 5 x - 7 : - \frac{1187}{216}

(\frac{5}{12}, - \frac{1187}{216})

What is the inflection f(x)=4x^3-5x^2+5x-7 ?
The inflection f(x)=4x^3-5x^2+5x-7 is (5/12 ,-1187/216)