What is the extreme f(x)=3x^3-4x ?

The extreme f(x)=3x^3-4x is Maximum(-2/3 , 16/9),Minimum(2/3 ,-16/9)

Popular >

extreme f(x)=3x^3-4x

extreme points

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

Maximum (- \frac{2}{3}, \frac{16}{9}), Minimum (\frac{2}{3}, - \frac{16}{9})

Solution steps

f^{'} (x) = 9 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

3 x^{3} - 4 x : \frac{16}{9}

Maximum (- \frac{2}{3}, \frac{16}{9})

Plug

x = \frac{2}{3}

into

3 x^{3} - 4 x : - \frac{16}{9}

Minimum (\frac{2}{3}, - \frac{16}{9})

Maximum (- \frac{2}{3}, \frac{16}{9}), Minimum (\frac{2}{3}, - \frac{16}{9})

f (x, y) = x^{3} + y^{3} - 3 x^{2} - 3 y

x^{5} - 5 x^{4} + 8

f (x) = (x^{2} + 12) (4 - x^{2})

4 x^{2} + 6 + \frac{6}{x ^{2} - 4 x + 4}

(x - y) (25 - x y)

What is the extreme f(x)=3x^3-4x ?
The extreme f(x)=3x^3-4x is Maximum(-2/3 , 16/9),Minimum(2/3 ,-16/9)