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Popular Functions >

inflection f(x)=-1/3 x^3+7x^2

Solution

inflection

Solution

(7, \frac{686}{3})

Solution steps

f^{''} (x) = - 2 x + 14

Find intervals:

Concave Upward

: - \infty < x < 7,

Concave Downward

: 7 < x < \infty

Plug

x = 7

into

- \frac{1}{3} x^{3} + 7 x^{2} : \frac{686}{3}

(7, \frac{686}{3})

Graph

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Frequently Asked Questions (FAQ)

What is the inflection f(x)=-1/3 x^3+7x^2 ?
The inflection f(x)=-1/3 x^3+7x^2 is (7, 686/3)