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Popular Functions >

inflection 6x^4+16x^3

Solution

inflection points

6 x^{4} + 16 x^{3}

Solution

(- \frac{4}{3}, - \frac{512}{27}), (0, 0)

Solution steps

f^{''} (x) = 72 x^{2} + 96 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

6 x^{4} + 16 x^{3} : - \frac{512}{27}

(- \frac{4}{3}, - \frac{512}{27})

Plug

x = 0

into

6 x^{4} + 16 x^{3} : 0

(0, 0)

(- \frac{4}{3}, - \frac{512}{27}), (0, 0)

Graph

Popular Examples

inverse of f(x)=(2x)/(2x-4)

inverse of f(x)=2+sqrt(4+6x)

inverse of f(x)=-x-4

perpendicular y= 3/4 x+3,(4,1)

domain of y=sqrt(x^2-4)

Frequently Asked Questions (FAQ)

What is the inflection 6x^4+16x^3 ?
The inflection 6x^4+16x^3 is (-4/3 ,-512/27),(0,0)