en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme x^3+45x^2

Solution

extreme points

x^{3} + 45 x^{2}

Solution

Maximum (- 30, 13500), Minimum (0, 0)

Solution steps

f^{'} (x) = 3 x^{2} + 90 x

Find intervals:

Increasing

: - \infty < x < - 30,

Decreasing

: - 30 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 30

into

x^{3} + 45 x^{2} : 13500

Maximum (- 30, 13500)

Plug

x = 0

into

x^{3} + 45 x^{2} : 0

Minimum (0, 0)

Maximum (- 30, 13500), Minimum (0, 0)

Popular Examples

extreme f(x)=x^3-2x^3 extreme points

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

extreme 5(2e^{-x}x-e^{-x}x^2)extreme points

5 (2 e^{- x} x - e^{- x} x^{2})

extreme y=4x^3-12x extreme points

y = 4 x^{3} - 12 x

extreme f(x)=(x-1)(x^2-2x-2)extreme points

f (x) = (x - 1) (x^{2} - 2 x - 2)

extreme f(x,y)=sqrt(400-9x^2-25y^2)extreme points

f (x, y) = 400 - 9 x^{2} - 25 y^{2}

Frequently Asked Questions (FAQ)

What is the extreme x^3+45x^2 ?
The extreme x^3+45x^2 is Maximum(-30,13500),Minimum(0,0)