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Popular >

inflection y=x^3-2x^2-4x+7

Solution

inflection points

y = x^{3} - 2 x^{2} - 4 x + 7

Solution

(\frac{2}{3}, \frac{101}{27})

Solution steps

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

Find intervals:

Concave Downward

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

Concave Upward

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

Plug

x = \frac{2}{3}

into

x^{3} - 2 x^{2} - 4 x + 7 : \frac{101}{27}

(\frac{2}{3}, \frac{101}{27})

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extreme x^3 extreme points

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Frequently Asked Questions (FAQ)

What is the inflection y=x^3-2x^2-4x+7 ?
The inflection y=x^3-2x^2-4x+7 is (2/3 , 101/27)