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Popular >

inflection x^4-4x^3

Solution

inflection points

x^{4} - 4 x^{3}

Solution

(0, 0), (2, - 16)

Solution steps

f^{''} (x) = 12 x^{2} - 24 x

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = 0

into

x^{4} - 4 x^{3} : 0

(0, 0)

Plug

x = 2

into

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

(2, - 16)

(0, 0), (2, - 16)

Popular Examples

intercepts of f(x)=-(x+2)^2+3 intercepts

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

slope of y+2=-1/5 (x+1)slope

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

domain of (3x+6)/(x^2-x-2)domain

\frac{3 x + 6}{x ^{2} - x - 2}

domain of f(x)= 8/(16-x^2)domain

f (x) = \frac{8}{16 - x ^{2}}

monotone f(x)=x^3-3x-2 monotone intervals

f (x) = x^{3} - 3 x - 2

Frequently Asked Questions (FAQ)

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