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Popular >

inflection f(x)=x^4-6x^3

Solution

inflection points

f (x) = x^{4} - 6 x^{3}

Solution

(0, 0), (3, - 81)

Solution steps

f^{''} (x) = 12 x^{2} - 36 x

Find intervals:

Concave Upward

: - \infty < x < 0,

Concave Downward

: 0 < x < 3,

Concave Upward

: 3 < x < \infty

Plug

x = 0

into

x^{4} - 6 x^{3} : 0

(0, 0)

Plug

x = 3

into

x^{4} - 6 x^{3} : - 81

(3, - 81)

(0, 0), (3, - 81)

Popular Examples

periodicity of f(x)=sec(3x)periodicity

f (x) = sec (3 x)

symmetry y=4x^6+x^8 symmetry

y = 4 x^{6} + x^{8}

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

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

distance (6,1),(2,-3)distance

(6, 1), (2, - 3)

perpendicular y=-2x-4 perpendicular

y = - 2 x - 4

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^4-6x^3 ?
The inflection f(x)=x^4-6x^3 is (0,0),(3,-81)