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Popular >

inflection f(x)=5x^4-30x^2

Solution

inflection points

f (x) = 5 x^{4} - 30 x^{2}

Solution

(- 1, - 25), (1, - 25)

Solution steps

f^{''} (x) = 60 x^{2} - 60

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = - 1

into

5 x^{4} - 30 x^{2} : - 25

(- 1, - 25)

Plug

x = 1

into

5 x^{4} - 30 x^{2} : - 25

(1, - 25)

(- 1, - 25), (1, - 25)

Popular Examples

inflection (x^2-4)/(x^2-1)inflection points

\frac{x ^{2} - 4}{x ^{2} - 1}

asymptotes of f(x)=-(x-1)/(x+3)asymptotes

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

simplify (7.7)(13.13)simplify

(7.7) (13.13)

distance (-6,3),(8,-3)distance

(- 6, 3), (8, - 3)

asymptotes of f(x)=(x^2-36)/(x(x-6))asymptotes

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

Frequently Asked Questions (FAQ)

What is the inflection f(x)=5x^4-30x^2 ?
The inflection f(x)=5x^4-30x^2 is (-1,-25),(1,-25)