What is the extreme f(x)=x^3-6x^2-15x+2 ?

The extreme f(x)=x^3-6x^2-15x+2 is Maximum(-1,10),Minimum(5,-98)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=x^3-6x^2-15x+2

extreme points

f (x) = x^{3} - 6 x^{2} - 15 x + 2

Maximum (- 1, 10), Minimum (5, - 98)

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 + 2 : 10

Maximum (- 1, 10)

Plug

x = 5

into

x^{3} - 6 x^{2} - 15 x + 2 : - 98

Minimum (5, - 98)

Maximum (- 1, 10), Minimum (5, - 98)

9 x ln (x)

f (x) = 2 tan (x) - 3, - \frac{π}{3} \leq x \leq \frac{π}{3}

f (x) = (5 x)^{x}

g (x) = x^{\frac{1}{3}} - x^{- \frac{2}{3}}

f (x) = \frac{5 x ^{2}}{x ^{2} - 9}

What is the extreme f(x)=x^3-6x^2-15x+2 ?
The extreme f(x)=x^3-6x^2-15x+2 is Maximum(-1,10),Minimum(5,-98)