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Popular Functions >

inflection x^{1/5}(x+6)

Solution

inflection points

x^{\frac{1}{5}} (x + 6)

Solution

(0, 0), (4, 10 \cdot 4^{\frac{1}{5}})

Solution steps

f^{''} (x) = \frac{6 ( x - 4 )}{25 x ^{\frac{9}{5}}}

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < 4,

Concave Upward

: 4 < x < \infty

Plug

x = 0

into

x^{\frac{1}{5}} (x + 6) : 0

(0, 0)

Plug

x = 4

into

x^{\frac{1}{5}} (x + 6) : 10 \cdot 4^{\frac{1}{5}}

(4, 10 \cdot 4^{\frac{1}{5}})

(0, 0), (4, 10 \cdot 4^{\frac{1}{5}})

Graph

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Frequently Asked Questions (FAQ)

What is the inflection x^{1/5}(x+6) ?
The inflection x^{1/5}(x+6) is (0,0),(4,10*4^{1/5})