What is the extreme x^3-4x ?

The extreme x^3-4x is Maximum(-2/(sqrt(3)),(16)/(3sqrt(3))),Minimum(2/(sqrt(3)),-(16)/(3sqrt(3)))

Popular >

extreme x^3-4x

extreme points

x^{3} - 4 x

Maximum (- \frac{2}{3}, \frac{16}{3 3}), Minimum (\frac{2}{3}, - \frac{16}{3 3})

Solution steps

f^{'} (x) = 3 x^{2} - 4

Find intervals:

Increasing

: - \infty < x < - \frac{2}{3},

Decreasing

: - \frac{2}{3} < x < \frac{2}{3},

Increasing

: \frac{2}{3} < x < \infty

Plug

x = - \frac{2}{3}

into

x^{3} - 4 x : \frac{16}{3 3}

Maximum (- \frac{2}{3}, \frac{16}{3 3})

Plug

x = \frac{2}{3}

into

x^{3} - 4 x : - \frac{16}{3 3}

Minimum (\frac{2}{3}, - \frac{16}{3 3})

Maximum (- \frac{2}{3}, \frac{16}{3 3}), Minimum (\frac{2}{3}, - \frac{16}{3 3})

\frac{x}{x ^{2} + 16 x + 60}

∣ sin (x) ∣

f (x) = 2 x^{3} + 3 x^{2} - 36 x + 4

x^{3} + 2 x^{2} + x + 2

f (x) = x^{3} - 18 x^{2} + 81 x

What is the extreme x^3-4x ?
The extreme x^3-4x is Maximum(-2/(sqrt(3)),(16)/(3sqrt(3))),Minimum(2/(sqrt(3)),-(16)/(3sqrt(3)))