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Popular >

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

Solution

inflection points

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

Solution

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

Solution steps

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

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = - 1

into

x^{4} - 6 x^{2} : - 5

(- 1, - 5)

Plug

x = 1

into

x^{4} - 6 x^{2} : - 5

(1, - 5)

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

Popular Examples

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

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

inverse of f(x)=(x+3)/3 inverse

f (x) = \frac{x + 3}{3}

inverse of f(x)=-2cos(5x)inverse

f (x) = - 2 cos (5 x)

asymptotes of (-2x-8)/(x^2+6x+8)asymptotes

\frac{- 2 x - 8}{x ^{2} + 6 x + 8}

parity f(x)=(x^3-x)/(x^2+1)parity

f (x) = \frac{x ^{3} - x}{x ^{2} + 1}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^4-6x^2 ?
The inflection f(x)=x^4-6x^2 is (-1,-5),(1,-5)