What is the extreme 2800x-x^3+3x^2+80x-500 ?

The extreme 2800x-x^3+3x^2+80x-500 is Minimum(-30,-57200),Maximum(32,61964)

Popular >

extreme 2800x-x^3+3x^2+80x-500

extreme points

2800 x - x^{3} + 3 x^{2} + 80 x - 500

Minimum (- 30, - 57200), Maximum (32, 61964)

Solution steps

f^{'} (x) = - 3 x^{2} + 6 x + 2880

Find intervals:

Decreasing

: - \infty < x < - 30,

Increasing

: - 30 < x < 32,

Decreasing

: 32 < x < \infty

Plug

x = - 30

into

2800 x - x^{3} + 3 x^{2} + 80 x - 500 : - 57200

Minimum (- 30, - 57200)

Plug

x = 32

into

2800 x - x^{3} + 3 x^{2} + 80 x - 500 : 61964

Maximum (32, 61964)

Minimum (- 30, - 57200), Maximum (32, 61964)

f (x) = y = \frac{1}{3} x^{3} - 6 x + 1, - 1 \leq x \leq 6

y = 5 - (x + 1)^{2}

f (x, y) = - x^{2} + 5 y^{2} + 10 x - 10 y - 28

f (x) = 12 x + 17 x^{\frac{12}{17}}

f (x) = x - 4 x

What is the extreme 2800x-x^3+3x^2+80x-500 ?
The extreme 2800x-x^3+3x^2+80x-500 is Minimum(-30,-57200),Maximum(32,61964)