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Popular >

inflection 3x^4+4x^3

Solution

inflection points

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

Solution

(- \frac{2}{3}, - \frac{16}{27}), (0, 0)

Solution steps

f^{''} (x) = 36 x^{2} + 24 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

3 x^{4} + 4 x^{3} : - \frac{16}{27}

(- \frac{2}{3}, - \frac{16}{27})

Plug

x = 0

into

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

(0, 0)

(- \frac{2}{3}, - \frac{16}{27}), (0, 0)

Popular Examples

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asymptotes of f(x)=4x^2+1 asymptotes

f (x) = 4 x^{2} + 1

extreme f(x)= 1/2 x^2-x extreme points

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

Frequently Asked Questions (FAQ)

What is the inflection 3x^4+4x^3 ?
The inflection 3x^4+4x^3 is (-2/3 ,-16/27),(0,0)