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Popular >

inflection-1/2 x^4+48x^2

Solution

inflection points

- \frac{1}{2} x^{4} + 48 x^{2}

Solution

(- 4, 640), (4, 640)

Solution steps

f^{''} (x) = - 6 x^{2} + 96

Find intervals:

Concave Downward

: - \infty < x < - 4,

Concave Upward

: - 4 < x < 4,

Concave Downward

: 4 < x < \infty

Plug

x = - 4

into

- \frac{1}{2} x^{4} + 48 x^{2} : 640

(- 4, 640)

Plug

x = 4

into

- \frac{1}{2} x^{4} + 48 x^{2} : 640

(4, 640)

(- 4, 640), (4, 640)

Popular Examples

perpendicular y= 1/4 x+9,\at (2-2)perpendicular

y = \frac{1}{4} x + 9, at (2 - 2)

asymptotes of f(x)=((-4x^2-2x+1))/(2x+3)asymptotes

f (x) = \frac{( - 4 x ^{2} - 2 x + 1 )}{2 x + 3}

domain of f(x)= 1/(2x-8)domain

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

asymptotes of f(x)=(-4x^2-3x+8)/(x+1)asymptotes

f (x) = \frac{- 4 x ^{2} - 3 x + 8}{x + 1}

domain of x-1,x<0 domain

x - 1, x < 0

Frequently Asked Questions (FAQ)

What is the inflection-1/2 x^4+48x^2 ?
The inflection-1/2 x^4+48x^2 is (-4,640),(4,640)