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Popular >

inflection x^{1/3}(x+4)

Solution

inflection points

x^{\frac{1}{3}} (x + 4)

Solution

(0, 0), (2, 6 \cdot 2^{\frac{1}{3}})

Solution steps

f^{''} (x) = \frac{4 ( x - 2 )}{9 x ^{\frac{5}{3}}}

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = 0

into

x^{\frac{1}{3}} (x + 4) : 0

(0, 0)

Plug

x = 2

into

x^{\frac{1}{3}} (x + 4) : 6 \cdot 2^{\frac{1}{3}}

(2, 6 \cdot 2^{\frac{1}{3}})

(0, 0), (2, 6 \cdot 2^{\frac{1}{3}})

Popular Examples

perpendicular y=3x-1,(3,2)perpendicular

y = 3 x - 1, (3, 2)

inverse of f(x)=(-9-7x)/3 inverse

f (x) = \frac{- 9 - 7 x}{3}

domain of ((5+3x))/2 domain

\frac{( 5 + 3 x )}{2}

asymptotes of f(x)=sec((3x)/5)asymptotes

f (x) = sec (\frac{3 x}{5})

inverse of f(x)=x-2 1/2 inverse

f (x) = x - 2 \frac{1}{2}

Frequently Asked Questions (FAQ)

What is the inflection x^{1/3}(x+4) ?
The inflection x^{1/3}(x+4) is (0,0),(2,6*2^{1/3})