What is the inflection f(x)=4x^3-5x^2+2x-1 ?

The inflection f(x)=4x^3-5x^2+2x-1 is (5/12 ,-161/216)

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inflection f(x)=4x^3-5x^2+2x-1

inflection points

f (x) = 4 x^{3} - 5 x^{2} + 2 x - 1

(\frac{5}{12}, - \frac{161}{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} + 2 x - 1 : - \frac{161}{216}

(\frac{5}{12}, - \frac{161}{216})

3 x - 8

f (x) = x^{3} - 10 x^{2} + 29 x - 20

y - 3 x = 1

y = 2

y = ∣ x - 3 ∣

What is the inflection f(x)=4x^3-5x^2+2x-1 ?
The inflection f(x)=4x^3-5x^2+2x-1 is (5/12 ,-161/216)