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Popular >

inflection x^{1/7}(x+8)

Solution

inflection points

x^{\frac{1}{7}} (x + 8)

Solution

(0, 0), (6, 14 \cdot 6^{\frac{1}{7}})

Solution steps

f^{''} (x) = \frac{8 ( x - 6 )}{49 x ^{\frac{13}{7}}}

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < 6,

Concave Upward

: 6 < x < \infty

Plug

x = 0

into

x^{\frac{1}{7}} (x + 8) : 0

(0, 0)

Plug

x = 6

into

x^{\frac{1}{7}} (x + 8) : 14 \cdot 6^{\frac{1}{7}}

(6, 14 \cdot 6^{\frac{1}{7}})

(0, 0), (6, 14 \cdot 6^{\frac{1}{7}})

Popular Examples

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

f (x) = 4 x^{2}

domain of f(x)=e^{cos(x)}domain

f (x) = e^{c o s (x)}

inverse of g(x)= x/2 inverse

g (x) = \frac{x}{2}

parallel 5x+2y=6 parallel

5 x + 2 y = 6

inverse of f(x)=(x-2)/(3x+1)inverse

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

Frequently Asked Questions (FAQ)

What is the inflection x^{1/7}(x+8) ?
The inflection x^{1/7}(x+8) is (0,0),(6,14*6^{1/7})