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Popular >

inflection f(x)=6x^4-36x^2

Solution

inflection points

f (x) = 6 x^{4} - 36 x^{2}

Solution

(- 1, - 30), (1, - 30)

Solution steps

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

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = - 1

into

6 x^{4} - 36 x^{2} : - 30

(- 1, - 30)

Plug

x = 1

into

6 x^{4} - 36 x^{2} : - 30

(1, - 30)

(- 1, - 30), (1, - 30)

Popular Examples

range of x^2+6x+10 range

x^{2} + 6 x + 10

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

f (x) = tan (3 x)

inverse of f(x)=((8x+1))/((2x+5))inverse

f (x) = \frac{( 8 x + 1 )}{( 2 x + 5 )}

midpoint (1,5),(-3,-1)midpoint

(1, 5), (- 3, - 1)

symmetry 1/(x^2)symmetry

\frac{1}{x ^{2}}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=6x^4-36x^2 ?
The inflection f(x)=6x^4-36x^2 is (-1,-30),(1,-30)