What is the extreme f(x)=-x^4-17x^3-106x^2-290x-293 ?

The extreme f(x)=-x^4-17x^3-106x^2-290x-293 is Maximum(-5.58193…,8.86512…)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=-x^4-17x^3-106x^2-290x-293

extreme

Maximum (- 5.58193 \dots, 8.86512 \dots)

Solution steps

Find the critical points:

x = - 5.58193 \dots

Domain of

- x^{4} - 17 x^{3} - 106 x^{2} - 290 x - 293 : - \infty < x < \infty

Find intervals:

Increasing

: - \infty < x < - 5.58193 \dots,

Decreasing

: - 5.58193 \dots < x < \infty

Plug the extreme point

x = - 5.58193 \dots

into

- x^{4} - 17 x^{3} - 106 x^{2} - 290 x - 293 \Rightarrow y = 8.86512 \dots

Maximum (- 5.58193 \dots, 8.86512 \dots)

What is the extreme f(x)=-x^4-17x^3-106x^2-290x-293 ?
The extreme f(x)=-x^4-17x^3-106x^2-290x-293 is Maximum(-5.58193…,8.86512…)