What is the extreme (x^3)/3-(3x^2)/2+3 ?

The extreme (x^3)/3-(3x^2)/2+3 is Maximum(0,3),Minimum(3,-3/2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme (x^3)/3-(3x^2)/2+3

extreme points

\frac{x ^{3}}{3} - \frac{3 x ^{2}}{2} + 3

Maximum (0, 3), Minimum (3, - \frac{3}{2})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 0

into

\frac{x ^{3}}{3} - \frac{3 x ^{2}}{2} + 3 : 3

Maximum (0, 3)

Plug

x = 3

into

\frac{x ^{3}}{3} - \frac{3 x ^{2}}{2} + 3 : - \frac{3}{2}

Minimum (3, - \frac{3}{2})

Maximum (0, 3), Minimum (3, - \frac{3}{2})

f (x) = 10000 e^{0.84 (x - 1.4)^{2}}

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

f (x, y) = x^{2} + y^{2} + x y + 3 x - 6 y + 1

f (x) = 7 csc (x)

V, V = π r e^{2} \cdot h

What is the extreme (x^3)/3-(3x^2)/2+3 ?
The extreme (x^3)/3-(3x^2)/2+3 is Maximum(0,3),Minimum(3,-3/2)