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Popular >

inflection (x^3)/(x+1)

Solution

inflection points

\frac{x ^{3}}{x + 1}

Solution

(0, 0)

Solution steps

f^{''} (x) = \frac{2 x ( x ^{2} + 3 x + 3 )}{( x + 1 ) ^{3}}

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = 0

into

\frac{x ^{3}}{x + 1} : 0

(0, 0)

Popular Examples

midpoint (-7,2),(3,-3)midpoint

(- 7, 2), (3, - 3)

critical f(x)=(x^2)/(x^2-4)critical points

f (x) = \frac{x ^{2}}{x ^{2} - 4}

range of f(x)=2x^2-7x-4 range

f (x) = 2 x^{2} - 7 x - 4

critical f(x)=-x^3+2x^2+2 critical points

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

domain of f(x)= 2/((x^2+4))domain

f (x) = \frac{2}{( x ^{2} + 4 )}

Frequently Asked Questions (FAQ)

What is the inflection (x^3)/(x+1) ?
The inflection (x^3)/(x+1) is (0,0)