What is the inflection f(x)=-x^3+7x^2-10x ?

The inflection f(x)=-x^3+7x^2-10x is (7/3 , 56/27)

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inflection f(x)=-x^3+7x^2-10x

inflection points

f (x) = - x^{3} + 7 x^{2} - 10 x

(\frac{7}{3}, \frac{56}{27})

Solution steps

f^{''} (x) = - 6 x + 14

Find intervals:

Concave Upward

: - \infty < x < \frac{7}{3},

Concave Downward

: \frac{7}{3} < x < \infty

Plug

x = \frac{7}{3}

into

- x^{3} + 7 x^{2} - 10 x : \frac{56}{27}

(\frac{7}{3}, \frac{56}{27})

- x + 1

f (x) = tan (2 x - \frac{π}{3})

f (x) = \frac{1}{x + 6}

f (x) = - 2 x^{2}

What is the inflection f(x)=-x^3+7x^2-10x ?
The inflection f(x)=-x^3+7x^2-10x is (7/3 , 56/27)