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})

- 3 x^{3} + 7 x^{2} + x - 3

\frac{x + 4}{x - 4}

f (x) = \frac{3 x}{x ^{2} + 1}

\frac{1}{4 x + 8}

lo g_{2} (x + 1)

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)