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Popular >

inflection f(x)=2x^4+8x^3

Solution

inflection points

f (x) = 2 x^{4} + 8 x^{3}

Solution

(- 2, - 32), (0, 0)

Solution steps

f^{''} (x) = 24 x^{2} + 48 x

Find intervals:

Concave Upward

: - \infty < x < - 2,

Concave Downward

: - 2 < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = - 2

into

2 x^{4} + 8 x^{3} : - 32

(- 2, - 32)

Plug

x = 0

into

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

(0, 0)

(- 2, - 32), (0, 0)

Popular Examples

domain of f(x)=(2x)/(sqrt(x^2-4))domain

f (x) = \frac{2 x}{x ^{2} - 4}

inflection-3x^4+16x^3-18x^2 inflection points

- 3 x^{4} + 16 x^{3} - 18 x^{2}

asymptotes of y=3tan(9x-7)+3 asymptotes

y = 3 tan (9 x - 7) + 3

intercepts of ln|x-3|intercepts

ln ∣ x - 3 ∣

range of f(x)=-2sqrt(x+2)-3 range

f (x) = - 2 x + 2 - 3

Frequently Asked Questions (FAQ)

What is the inflection f(x)=2x^4+8x^3 ?
The inflection f(x)=2x^4+8x^3 is (-2,-32),(0,0)