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Popular >

inflection f(x)=4x^4+16x^3

Solution

inflection points

f (x) = 4 x^{4} + 16 x^{3}

Solution

(- 2, - 64), (0, 0)

Solution steps

f^{''} (x) = 48 x^{2} + 96 x

Find intervals:

Concave Upward

: - \infty < x < - 2,

Concave Downward

: - 2 < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = - 2

into

4 x^{4} + 16 x^{3} : - 64

(- 2, - 64)

Plug

x = 0

into

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

(0, 0)

(- 2, - 64), (0, 0)

Popular Examples

domain of f(x)=(35)/(x^2+7x)domain

f (x) = \frac{35}{x ^{2} + 7 x}

slope of 0.0417D(a+1)slope

0.0417 D (a + 1)

domain of f(x)=sqrt(25-x)domain

f (x) = 25 - x

asymptotes of f(x)=(x(x-2)^2)/((x+5)^3)asymptotes

f (x) = \frac{x ( x - 2 ) ^{2}}{( x + 5 ) ^{3}}

intercepts of ((x+2)(x-3))/(2x^2)intercepts

\frac{( x + 2 ) ( x - 3 )}{2 x ^{2}}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=4x^4+16x^3 ?
The inflection f(x)=4x^4+16x^3 is (-2,-64),(0,0)