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Popular Functions >

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

Solution

inflection points

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

Solution

(\frac{2}{3}, \frac{43}{27})

Solution steps

f^{''} (x) = - 6 x + 4

Find intervals:

Concave Upward

: - \infty < x < \frac{2}{3},

Concave Downward

: \frac{2}{3} < x < \infty

Plug

x = \frac{2}{3}

into

- x^{3} + 2 x^{2} + 1 : \frac{43}{27}

(\frac{2}{3}, \frac{43}{27})

Graph

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Frequently Asked Questions (FAQ)

What is the inflection f(x)=-x^3+2x^2+1 ?
The inflection f(x)=-x^3+2x^2+1 is (2/3 , 43/27)