What is the inflection x^4-32x^2+4 ?

The inflection x^4-32x^2+4 is (-4/(sqrt(3)),-1244/9),(4/(sqrt(3)),-1244/9)

Popular >

inflection x^4-32x^2+4

inflection points

x^{4} - 32 x^{2} + 4

(- \frac{4}{3}, - \frac{1244}{9}), (\frac{4}{3}, - \frac{1244}{9})

Solution steps

f^{''} (x) = 12 x^{2} - 64

Find intervals:

Concave Upward

: - \infty < x < - \frac{4}{3},

Concave Downward

: - \frac{4}{3} < x < \frac{4}{3},

Concave Upward

: \frac{4}{3} < x < \infty

Plug

x = - \frac{4}{3}

into

x^{4} - 32 x^{2} + 4 : - \frac{1244}{9}

(- \frac{4}{3}, - \frac{1244}{9})

Plug

x = \frac{4}{3}

into

x^{4} - 32 x^{2} + 4 : - \frac{1244}{9}

(\frac{4}{3}, - \frac{1244}{9})

(- \frac{4}{3}, - \frac{1244}{9}), (\frac{4}{3}, - \frac{1244}{9})

\frac{x ^{2} - 16}{2 x + 8}

(- \frac{1}{2}, \frac{7}{2}), (- 2, 2)

f (x) = x^{3} - 6 x^{2} + 9 x + 1

(\frac{1}{2}, \frac{1}{2}), (- 2, 3)

6 x^{2} + 1

What is the inflection x^4-32x^2+4 ?
The inflection x^4-32x^2+4 is (-4/(sqrt(3)),-1244/9),(4/(sqrt(3)),-1244/9)