What is the extreme f(x)=2x^3+4x^2+2/1 x ?

The extreme f(x)=2x^3+4x^2+2/1 x is Maximum(-1,0),Minimum(-1/3 ,-8/27)

Popular >

extreme f(x)=2x^3+4x^2+2/1 x

extreme points

f (x) = 2 x^{3} + 4 x^{2} + \frac{2}{1} x

Maximum (- 1, 0), Minimum (- \frac{1}{3}, - \frac{8}{27})

Solution steps

f^{'} (x) = 6 x^{2} + 8 x + 2

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < - \frac{1}{3},

Increasing

: - \frac{1}{3} < x < \infty

Plug

x = - 1

into

2 x^{3} + 4 x^{2} + \frac{2}{1} x : 0

Maximum (- 1, 0)

Plug

x = - \frac{1}{3}

into

2 x^{3} + 4 x^{2} + \frac{2}{1} x : - \frac{8}{27}

Minimum (- \frac{1}{3}, - \frac{8}{27})

Maximum (- 1, 0), Minimum (- \frac{1}{3}, - \frac{8}{27})

f (x) = 2 x + \frac{32}{x}, x \neq = 0

f (\frac{24}{13}, \frac{88}{39}) = 3 x y - 4 x^{2} - 3 y^{2} + 8 x + 8 y - 4

- x^{3} + 75 x + 80

f (x) = x^{3} + 6 x^{2} + 5

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

What is the extreme f(x)=2x^3+4x^2+2/1 x ?
The extreme f(x)=2x^3+4x^2+2/1 x is Maximum(-1,0),Minimum(-1/3 ,-8/27)