What is the extreme f(x)=x^3+15x^2-33x ?

The extreme f(x)=x^3+15x^2-33x is Maximum(-11,847),Minimum(1,-17)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=x^3+15x^2-33x

extreme points

f (x) = x^{3} + 15 x^{2} - 33 x

Maximum (- 11, 847), Minimum (1, - 17)

Solution steps

f^{'} (x) = 3 x^{2} + 30 x - 33

Find intervals:

Increasing

: - \infty < x < - 11,

Decreasing

: - 11 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 11

into

x^{3} + 15 x^{2} - 33 x : 847

Maximum (- 11, 847)

Plug

x = 1

into

x^{3} + 15 x^{2} - 33 x : - 17

Minimum (1, - 17)

Maximum (- 11, 847), Minimum (1, - 17)

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

f (x) = - \frac{1}{2} x^{4} + 2 x^{3} + 28 x^{2} + 18

f (x, y) = ln (x + y - 4)

f (x, y) = x^{2} + x y + y^{2} - 37 y + 456

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

What is the extreme f(x)=x^3+15x^2-33x ?
The extreme f(x)=x^3+15x^2-33x is Maximum(-11,847),Minimum(1,-17)