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Popular >

inflection x^4-x^2

Solution

inflection points

x^{4} - x^{2}

Solution

(- \frac{1}{6}, - \frac{5}{36}), (\frac{1}{6}, - \frac{5}{36})

Solution steps

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

Find intervals:

Concave Upward

: - \infty < x < - \frac{1}{6},

Concave Downward

: - \frac{1}{6} < x < \frac{1}{6},

Concave Upward

: \frac{1}{6} < x < \infty

Plug

x = - \frac{1}{6}

into

x^{4} - x^{2} : - \frac{5}{36}

(- \frac{1}{6}, - \frac{5}{36})

Plug

x = \frac{1}{6}

into

x^{4} - x^{2} : - \frac{5}{36}

(\frac{1}{6}, - \frac{5}{36})

(- \frac{1}{6}, - \frac{5}{36}), (\frac{1}{6}, - \frac{5}{36})

Popular Examples

intercepts of f(x)=-2.1x^2+410x-1340 intercepts

f (x) = - 2.1 x^{2} + 410 x - 1340

domain of y=csc((pix)/2)+1 domain

y = csc (\frac{π x}{2}) + 1

extreme f(x)=-3x^4+18x^2-15 extreme points

f (x) = - 3 x^{4} + 18 x^{2} - 15

range of-sqrt(x)+4 range

- x + 4

inverse of ax^2-4x+2a inverse

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

Frequently Asked Questions (FAQ)

What is the inflection x^4-x^2 ?
The inflection x^4-x^2 is (-1/(sqrt(6)),-5/36),(1/(sqrt(6)),-5/36)