What is the extreme x^3-6x^2-15x+7 ?

The extreme x^3-6x^2-15x+7 is Maximum(-1,15),Minimum(5,-93)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme x^3-6x^2-15x+7

extreme points

x^{3} - 6 x^{2} - 15 x + 7

Maximum (- 1, 15), Minimum (5, - 93)

Solution steps

f^{'} (x) = 3 x^{2} - 12 x - 15

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = - 1

into

x^{3} - 6 x^{2} - 15 x + 7 : 15

Maximum (- 1, 15)

Plug

x = 5

into

x^{3} - 6 x^{2} - 15 x + 7 : - 93

Minimum (5, - 93)

Maximum (- 1, 15), Minimum (5, - 93)

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

f (x, y) = x y + \frac{1}{x} + \frac{8}{y}

- 3 x^{\frac{5}{3}} - 15 x^{\frac{2}{3}}

x^{3} - 12 x + 5

f (x) = 4 x^{2} - 8 x + 16

What is the extreme x^3-6x^2-15x+7 ?
The extreme x^3-6x^2-15x+7 is Maximum(-1,15),Minimum(5,-93)