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Popular >

inflection f(x)=3x^4+12x^3

Solution

inflection points

f (x) = 3 x^{4} + 12 x^{3}

Solution

(- 2, - 48), (0, 0)

Solution steps

f^{''} (x) = 36 x^{2} + 72 x

Find intervals:

Concave Upward

: - \infty < x < - 2,

Concave Downward

: - 2 < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = - 2

into

3 x^{4} + 12 x^{3} : - 48

(- 2, - 48)

Plug

x = 0

into

3 x^{4} + 12 x^{3} : 0

(0, 0)

(- 2, - 48), (0, 0)

Graph

Popular Examples

inverse of f(x)=((2x+1))/5 inverse

f (x) = \frac{( 2 x + 1 )}{5}

slope ofintercept-8(-6-5)slope intercept

- 8 (- 6 - 5)

inverse of f(x)=((4x) 1/3)/2 inverse

f (x) = \frac{( 4 x ) \frac{1}{3}}{2}

asymptotes of f(x)=12x^{2/3}-8x asymptotes

f (x) = 12 x^{\frac{2}{3}} - 8 x

inverse of f(x)=-2/(x+1)inverse

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

Frequently Asked Questions (FAQ)

What is the inflection f(x)=3x^4+12x^3 ?
The inflection f(x)=3x^4+12x^3 is (-2,-48),(0,0)