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Popular >

inflection f(x)=x-3x^{1/3}

Solution

inflection points

f (x) = x - 3 x^{\frac{1}{3}}

Solution

(0, 0)

Solution steps

f^{''} (x) = \frac{2}{3 x ^{\frac{5}{3}}}

Find intervals:

Concave Downward

: - \infty < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = 0

into

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

(0, 0)

Popular Examples

line m=-1/4 ,(4,7)line

m = - \frac{1}{4}, (4, 7)

asymptotes of f(x)=(x^2-16)/(x-4)asymptotes

f (x) = \frac{x ^{2} - 16}{x - 4}

symmetry y=3(x-2)^2+5 symmetry

y = 3 (x - 2)^{2} + 5

asymptotes of f(x)= 2/(x-5)asymptotes

f (x) = \frac{2}{x - 5}

line (4,0),(-1,0)line

(4, 0), (- 1, 0)

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x-3x^{1/3} ?
The inflection f(x)=x-3x^{1/3} is (0,0)