What is the extreme f(x)=2x^3+3x^2-180x ?

The extreme f(x)=2x^3+3x^2-180x is Maximum(-6,756),Minimum(5,-575)

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+3x^2-180x

extreme points

f (x) = 2 x^{3} + 3 x^{2} - 180 x

Maximum (- 6, 756), Minimum (5, - 575)

Solution steps

f^{'} (x) = 6 x^{2} + 6 x - 180

Find intervals:

Increasing

: - \infty < x < - 6,

Decreasing

: - 6 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = - 6

into

2 x^{3} + 3 x^{2} - 180 x : 756

Maximum (- 6, 756)

Plug

x = 5

into

2 x^{3} + 3 x^{2} - 180 x : - 575

Minimum (5, - 575)

Maximum (- 6, 756), Minimum (5, - 575)

f (x) = 16 - x^{2} - 4 y^{2}

f (x) = 2 x^{4} - 32 x^{3} + 4

f (x) = 8 x e^{- x}

f (x) = x + sin (x), 0 \leq x \leq 2 π

f (x, y) = 1 - \frac{x ^{2}}{4} - y^{2}

What is the extreme f(x)=2x^3+3x^2-180x ?
The extreme f(x)=2x^3+3x^2-180x is Maximum(-6,756),Minimum(5,-575)