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Popular >

inflection (x^3)/3-(x^2)/2

Solution

inflection points

\frac{x ^{3}}{3} - \frac{x ^{2}}{2}

Solution

(\frac{1}{2}, - \frac{1}{12})

Solution steps

f^{''} (x) = 2 x - 1

Find intervals:

Concave Downward

: - \infty < x < \frac{1}{2},

Concave Upward

: \frac{1}{2} < x < \infty

Plug

x = \frac{1}{2}

into

\frac{x ^{3}}{3} - \frac{x ^{2}}{2} : - \frac{1}{12}

(\frac{1}{2}, - \frac{1}{12})

Popular Examples

domain of-1/(x+2)domain

- \frac{1}{x + 2}

range of-x^2+16x-94 range

- x^{2} + 16 x - 94

asymptotes of (2e^x)/(1+e^{-x)}asymptotes

\frac{2 e ^{x}}{1 + e ^{- x}}

extreme f(x)=2x^4-12x^2 extreme points

f (x) = 2 x^{4} - 12 x^{2}

range of 7/(2x-1)range

\frac{7}{2 x - 1}

Frequently Asked Questions (FAQ)

What is the inflection (x^3)/3-(x^2)/2 ?
The inflection (x^3)/3-(x^2)/2 is (1/2 ,-1/12)