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Popular >

inflection 6x^4+8x^3

Solution

inflection points

6 x^{4} + 8 x^{3}

Solution

(- \frac{2}{3}, - \frac{32}{27}), (0, 0)

Solution steps

f^{''} (x) = 72 x^{2} + 48 x

Find intervals:

Concave Upward

: - \infty < x < - \frac{2}{3},

Concave Downward

: - \frac{2}{3} < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = - \frac{2}{3}

into

6 x^{4} + 8 x^{3} : - \frac{32}{27}

(- \frac{2}{3}, - \frac{32}{27})

Plug

x = 0

into

6 x^{4} + 8 x^{3} : 0

(0, 0)

(- \frac{2}{3}, - \frac{32}{27}), (0, 0)

Popular Examples

symmetry (3x)/(x^2-4)symmetry

\frac{3 x}{x ^{2} - 4}

domain of sqrt(1/x)domain

\frac{1}{x}

domain of f(x)=sqrt(3x+15)domain

f (x) = 3 x + 15

line 3x^2+x-1/12 =0 line

3 x^{2} + x - \frac{1}{12} = 0

extreme f(x)=6x^2+2x^3 extreme points

f (x) = 6 x^{2} + 2 x^{3}

Frequently Asked Questions (FAQ)

What is the inflection 6x^4+8x^3 ?
The inflection 6x^4+8x^3 is (-2/3 ,-32/27),(0,0)