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Popular >

inflection f(x)=x^4-24x^2

Solution

inflection points

f (x) = x^{4} - 24 x^{2}

Solution

(- 2, - 80), (2, - 80)

Solution steps

f^{''} (x) = 12 x^{2} - 48

Find intervals:

Concave Upward

: - \infty < x < - 2,

Concave Downward

: - 2 < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = - 2

into

x^{4} - 24 x^{2} : - 80

(- 2, - 80)

Plug

x = 2

into

x^{4} - 24 x^{2} : - 80

(2, - 80)

(- 2, - 80), (2, - 80)

Popular Examples

extreme f(x)=x^2+8x+7 extreme points

f (x) = x^{2} + 8 x + 7

parity x^2 parity

x^{2}

extreme x^4-4x^3+2 extreme points

x^{4} - 4 x^{3} + 2

midpoint (4,-7),(12,-1)midpoint

(4, - 7), (12, - 1)

domain of-x^2+16x-62 domain

- x^{2} + 16 x - 62

Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^4-24x^2 ?
The inflection f(x)=x^4-24x^2 is (-2,-80),(2,-80)