What is the extreme 15x^4-90x^2 ?

The extreme 15x^4-90x^2 is Minimum(-sqrt(3),-135),Maximum(0,0),Minimum(sqrt(3),-135)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme 15x^4-90x^2

extreme points

15 x^{4} - 90 x^{2}

Minimum (- 3, - 135), Maximum (0, 0), Minimum (3, - 135)

Solution steps

f^{'} (x) = 60 x^{3} - 180 x

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

15 x^{4} - 90 x^{2} : - 135

Minimum (- 3, - 135)

Plug

x = 0

into

15 x^{4} - 90 x^{2} : 0

Maximum (0, 0)

Plug

x = 3

into

15 x^{4} - 90 x^{2} : - 135

Minimum (3, - 135)

Minimum (- 3, - 135), Maximum (0, 0), Minimum (3, - 135)

f (x) = \frac{( 2 x - 3 )}{( x - 2 ) ( x - 3 )}

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

(6, 2), (9, 8)

tanh (x)

f (x) = \frac{36 - x ^{2}}{x + 1}

What is the extreme 15x^4-90x^2 ?
The extreme 15x^4-90x^2 is Minimum(-sqrt(3),-135),Maximum(0,0),Minimum(sqrt(3),-135)