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Popular Functions >

inflection f(x)=-3x^4+18x^2

Solution

inflection points

f (x) = - 3 x^{4} + 18 x^{2}

Solution

(- 1, 15), (1, 15)

Solution steps

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

Find intervals:

Concave Downward

: - \infty < x < - 1,

Concave Upward

: - 1 < x < 1,

Concave Downward

: 1 < x < \infty

Plug

x = - 1

into

- 3 x^{4} + 18 x^{2} : 15

(- 1, 15)

Plug

x = 1

into

- 3 x^{4} + 18 x^{2} : 15

(1, 15)

(- 1, 15), (1, 15)

Graph

Popular Examples

domain of f(t)=(56)/((t+7)^2)

d o main f (t) = \frac{56}{( t + 7 ) ^{2}}

domain of (x+1)/(x^2-4x-12)

d o main \frac{x + 1}{x ^{2} - 4 x - 12}

domain of f(x)=ln(x^2-2x)

d o main f (x) = ln (x^{2} - 2 x)

inverse of f(x)=(3x-9)/8

in v erse f (x) = \frac{3 x - 9}{8}

critical ln(x-9)

cr i t i c a l ln (x - 9)

Frequently Asked Questions (FAQ)

What is the inflection f(x)=-3x^4+18x^2 ?
The inflection f(x)=-3x^4+18x^2 is (-1,15),(1,15)