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Popular >

inflection x^4-3x^2

Solution

inflection points

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

Solution

(- \frac{1}{2}, - \frac{5}{4}), (\frac{1}{2}, - \frac{5}{4})

Solution steps

f^{''} (x) = 12 x^{2} - 6

Find intervals:

Concave Upward

: - \infty < x < - \frac{1}{2},

Concave Downward

: - \frac{1}{2} < x < \frac{1}{2},

Concave Upward

: \frac{1}{2} < x < \infty

Plug

x = - \frac{1}{2}

into

x^{4} - 3 x^{2} : - \frac{5}{4}

(- \frac{1}{2}, - \frac{5}{4})

Plug

x = \frac{1}{2}

into

x^{4} - 3 x^{2} : - \frac{5}{4}

(\frac{1}{2}, - \frac{5}{4})

(- \frac{1}{2}, - \frac{5}{4}), (\frac{1}{2}, - \frac{5}{4})

Popular Examples

domain of f(x)=(x-4)/(sqrt(x))domain

f (x) = \frac{x - 4}{x}

domain of f(x)=(x^2)/(1+x^2)domain

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

domain of y=-3x^2-2x+5 domain

y = - 3 x^{2} - 2 x + 5

midpoint (1,-4),(-2,5)midpoint

(1, - 4), (- 2, 5)

range of (x+5)/(x^2+x-6)range

\frac{x + 5}{x ^{2} + x - 6}

Frequently Asked Questions (FAQ)

What is the inflection x^4-3x^2 ?
The inflection x^4-3x^2 is (-1/(sqrt(2)),-5/4),(1/(sqrt(2)),-5/4)