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Popular >

inflection 3x^4+16x^3

Solution

inflection points

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

Solution

(- \frac{8}{3}, - \frac{4096}{27}), (0, 0)

Solution steps

f^{''} (x) = 36 x^{2} + 96 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

3 x^{4} + 16 x^{3} : - \frac{4096}{27}

(- \frac{8}{3}, - \frac{4096}{27})

Plug

x = 0

into

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

(0, 0)

(- \frac{8}{3}, - \frac{4096}{27}), (0, 0)

Popular Examples

inverse of x-2 inverse

x - 2

line y=4x+2 line

y = 4 x + 2

extreme f(x)=-5x^2+8x-5 extreme points

f (x) = - 5 x^{2} + 8 x - 5

extreme-2x^2-6x extreme points

- 2 x^{2} - 6 x

critical f(x)=(x^3)/(x^2-1)critical points

f (x) = \frac{x ^{3}}{x ^{2} - 1}

Frequently Asked Questions (FAQ)

What is the inflection 3x^4+16x^3 ?
The inflection 3x^4+16x^3 is (-8/3 ,-4096/27),(0,0)