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Popular >

inflection f(x)=2x^4-12x^2

Solution

inflection points

f (x) = 2 x^{4} - 12 x^{2}

Solution

(- 1, - 10), (1, - 10)

Solution steps

f^{''} (x) = 24 x^{2} - 24

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = - 1

into

2 x^{4} - 12 x^{2} : - 10

(- 1, - 10)

Plug

x = 1

into

2 x^{4} - 12 x^{2} : - 10

(1, - 10)

(- 1, - 10), (1, - 10)

Popular Examples

inflection f(x)= 3/5 x^3-7x+4 inflection points

f (x) = \frac{3}{5} x^{3} - 7 x + 4

range of sqrt(x+6)range

x + 6

symmetry 1/(x-2)-4 symmetry

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

inverse of f(x)= 1/2 inverse

f (x) = \frac{1}{2}

critical f(x)=10-4e^{-x}critical points

f (x) = 10 - 4 e^{- x}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=2x^4-12x^2 ?
The inflection f(x)=2x^4-12x^2 is (-1,-10),(1,-10)