What is the extreme f(x)=2x^3+9x^2-60x+70 ?

The extreme f(x)=2x^3+9x^2-60x+70 is Maximum(-5,345),Minimum(2,2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=2x^3+9x^2-60x+70

extreme points

f (x) = 2 x^{3} + 9 x^{2} - 60 x + 70

Maximum (- 5, 345), Minimum (2, 2)

Solution steps

f^{'} (x) = 6 x^{2} + 18 x - 60

Find intervals:

Increasing

: - \infty < x < - 5,

Decreasing

: - 5 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 5

into

2 x^{3} + 9 x^{2} - 60 x + 70 : 345

Maximum (- 5, 345)

Plug

x = 2

into

2 x^{3} + 9 x^{2} - 60 x + 70 : 2

Minimum (2, 2)

Maximum (- 5, 345), Minimum (2, 2)

f (x) = \frac{3}{4} x + 2, 0 \leq x \leq 4

f (x) = 2 x y + 3 x + 4 y

f (x) = \frac{6}{- 5 x - 2}

f (x) = - \frac{50 x}{x ^{2} + 25}

2 x^{4} + 2 y^{4} - x y

What is the extreme f(x)=2x^3+9x^2-60x+70 ?
The extreme f(x)=2x^3+9x^2-60x+70 is Maximum(-5,345),Minimum(2,2)