What is the extreme x^3-4x^2-16x+9 ?

The extreme x^3-4x^2-16x+9 is Maximum(-4/3 , 563/27),Minimum(4,-55)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme x^3-4x^2-16x+9

extreme points

x^{3} - 4 x^{2} - 16 x + 9

Maximum (- \frac{4}{3}, \frac{563}{27}), Minimum (4, - 55)

Solution steps

f^{'} (x) = 3 x^{2} - 8 x - 16

Find intervals:

Increasing

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

Decreasing

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

Increasing

: 4 < x < \infty

Plug

x = - \frac{4}{3}

into

x^{3} - 4 x^{2} - 16 x + 9 : \frac{563}{27}

Maximum (- \frac{4}{3}, \frac{563}{27})

Plug

x = 4

into

x^{3} - 4 x^{2} - 16 x + 9 : - 55

Minimum (4, - 55)

Maximum (- \frac{4}{3}, \frac{563}{27}), Minimum (4, - 55)

2 x^{2} - 6 x + 3

f (x) = 2 (x - 1)^{2} - 8

5 x + 7 y = 8

(x + 2) e^{\frac{1}{x}}

h (x) = x^{2} - 9

What is the extreme x^3-4x^2-16x+9 ?
The extreme x^3-4x^2-16x+9 is Maximum(-4/3 , 563/27),Minimum(4,-55)