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Popular >

inflection 6x^4+32x^3

Solution

inflection points

6 x^{4} + 32 x^{3}

Solution

(- \frac{8}{3}, - \frac{8192}{27}), (0, 0)

Solution steps

f^{''} (x) = 72 x^{2} + 192 x

Find intervals:

Concave Upward

: - \infty < x < - \frac{8}{3},

Concave Downward

: - \frac{8}{3} < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = - \frac{8}{3}

into

6 x^{4} + 32 x^{3} : - \frac{8192}{27}

(- \frac{8}{3}, - \frac{8192}{27})

Plug

x = 0

into

6 x^{4} + 32 x^{3} : 0

(0, 0)

(- \frac{8}{3}, - \frac{8192}{27}), (0, 0)

Popular Examples

critical f(x)=(x+10)^2(x-5)critical points

f (x) = (x + 10)^{2} (x - 5)

domain of f(x)=(sqrt(x+4))/(x-4)domain

f (x) = \frac{x + 4}{x - 4}

domain of f(x)=log_{3}(x^2-1)domain

f (x) = lo g_{3} (x^{2} - 1)

asymptotes of f(x)=3^{x+1}-6 asymptotes

f (x) = 3^{x + 1} - 6

inverse of g(x)=3+x inverse

g (x) = 3 + x

Frequently Asked Questions (FAQ)

What is the inflection 6x^4+32x^3 ?
The inflection 6x^4+32x^3 is (-8/3 ,-8192/27),(0,0)