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Popular >

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

Solution

inflection points

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

Solution

(0, 0), (6, - 1296)

Solution steps

f^{''} (x) = 12 x^{2} - 72 x

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < 6,

Concave Upward

: 6 < x < \infty

Plug

x = 0

into

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

(0, 0)

Plug

x = 6

into

x^{4} - 12 x^{3} : - 1296

(6, - 1296)

(0, 0), (6, - 1296)

Popular Examples

range of f(x)=3-sqrt(4-x^2)range

f (x) = 3 - 4 - x^{2}

line (2,3),(4,8)line

(2, 3), (4, 8)

domain of x(sqrt(x-6))^2 domain

x (x - 6)^{2}

distance (-1,1),(-2,-1)distance

(- 1, 1), (- 2, - 1)

inverse of 2x^2+7 inverse

2 x^{2} + 7

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^4-12x^3 ?
The inflection f(x)=x^4-12x^3 is (0,0),(6,-1296)