What is the extreme-15x^4+120x^2 ?

The extreme-15x^4+120x^2 is Maximum(-2,240),Minimum(0,0),Maximum(2,240)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme-15x^4+120x^2

extreme

Maximum (- 2, 240), Minimum (0, 0), Maximum (2, 240)

Solution steps

f^{'} (x) = - 60 x^{3} + 240 x

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Increasing

: 0 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = - 2

into

- 15 x^{4} + 120 x^{2} : 240

Maximum (- 2, 240)

Plug

x = 0

into

- 15 x^{4} + 120 x^{2} : 0

Minimum (0, 0)

Plug

x = 2

into

- 15 x^{4} + 120 x^{2} : 240

Maximum (2, 240)

Maximum (- 2, 240), Minimum (0, 0), Maximum (2, 240)

What is the extreme-15x^4+120x^2 ?
The extreme-15x^4+120x^2 is Maximum(-2,240),Minimum(0,0),Maximum(2,240)