What is the extreme f(x)=2x^3-150x+3 ?

The extreme f(x)=2x^3-150x+3 is Maximum(-5,503),Minimum(5,-497)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=2x^3-150x+3

extreme points

f (x) = 2 x^{3} - 150 x + 3

Maximum (- 5, 503), Minimum (5, - 497)

Solution steps

f^{'} (x) = 6 x^{2} - 150

Find intervals:

Increasing

: - \infty < x < - 5,

Decreasing

: - 5 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = - 5

into

2 x^{3} - 150 x + 3 : 503

Maximum (- 5, 503)

Plug

x = 5

into

2 x^{3} - 150 x + 3 : - 497

Minimum (5, - 497)

Maximum (- 5, 503), Minimum (5, - 497)

f (x, y) = x^{2} + \frac{1}{2} y^{2} + \frac{1}{2} (y - x) - \frac{3}{2}

x^{4} + 3 x^{3} + 2 x^{2} + x + 1

f (x) = - 0.4 x^{2} + 90 x - 2000, 0 \leq x

2 x^{2} - 2 x

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

What is the extreme f(x)=2x^3-150x+3 ?
The extreme f(x)=2x^3-150x+3 is Maximum(-5,503),Minimum(5,-497)