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Popular >

inflection 3x^4+8x^3

Solution

inflection points

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

Solution

(- \frac{4}{3}, - \frac{256}{27}), (0, 0)

Solution steps

f^{''} (x) = 36 x^{2} + 48 x

Find intervals:

Concave Upward

: - \infty < x < - \frac{4}{3},

Concave Downward

: - \frac{4}{3} < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = - \frac{4}{3}

into

3 x^{4} + 8 x^{3} : - \frac{256}{27}

(- \frac{4}{3}, - \frac{256}{27})

Plug

x = 0

into

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

(0, 0)

(- \frac{4}{3}, - \frac{256}{27}), (0, 0)

Popular Examples

symmetry y=-3x^2+x+5 symmetry

y = - 3 x^{2} + x + 5

extreme f(x)=3x^3-3x^2-3x+7 extreme points

f (x) = 3 x^{3} - 3 x^{2} - 3 x + 7

domain of f(x)=x^2-6x+7 domain

f (x) = x^{2} - 6 x + 7

inverse of f(x)=(x+4)/(x+10)inverse

f (x) = \frac{x + 4}{x + 10}

simplify (7.1)(3.1)simplify

(7.1) (3.1)

Frequently Asked Questions (FAQ)

What is the inflection 3x^4+8x^3 ?
The inflection 3x^4+8x^3 is (-4/3 ,-256/27),(0,0)