en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme (64)/(x^2+6x-7)

Solution

extreme points

\frac{64}{x ^{2} + 6 x - 7}

Solution

Maximum (- 3, - 4)

Solution steps

f^{'} (x) = - \frac{64 ( 2 x + 6 )}{( x ^{2} + 6 x - 7 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 7,

Increasing

: - 7 < x < - 3,

Decreasing

: - 3 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = - 3

into

\frac{64}{x ^{2} + 6 x - 7} : - 4

Maximum (- 3, - 4)

Graph

Popular Examples

extreme f(x)=6xe^{-x^2}extreme points

f (x) = 6 x e^{- x^{2}}

extreme f(x)=(-2)/(x-3)extreme points

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

extreme y=x^3-12x+3 extreme points

y = x^{3} - 12 x + 3

extreme y=-x-ln|x|extreme points

y = - x - ln ∣ x ∣

extreme f(x)=x^3-48x+9 extreme points

f (x) = x^{3} - 48 x + 9

Frequently Asked Questions (FAQ)

What is the extreme (64)/(x^2+6x-7) ?
The extreme (64)/(x^2+6x-7) is Maximum(-3,-4)