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Popular >

extreme+(x+1)/(1+1/(x+1))

Solution

extreme points

+ \frac{x + 1}{1 + \frac{1}{x + 1}}

Solution

Maximum (- 3, - 4)

Solution steps

f^{'} (x) = \frac{( x + 3 ) ( x + 1 )}{( x + 2 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < - 2,

Decreasing

: - 2 < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 3

into

+ \frac{x + 1}{1 + \frac{1}{x + 1}} : - 4

Maximum (- 3, - 4)

Popular Examples

extreme f(x)=5x^3e^{-x}extreme points

f (x) = 5 x^{3} e^{- x}

extreme f(x)=2x^3+30x^2+144x-1 extreme points

f (x) = 2 x^{3} + 30 x^{2} + 144 x - 1

extreme f(x)=sin^2(x),0<= x<= pi extreme points

f (x) = sin^{2} (x), 0 \leq x \leq π

extreme f(x)=-x^2-3x+2 extreme points

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

extreme (x+3)^2-1 extreme points

(x + 3)^{2} - 1

Frequently Asked Questions (FAQ)

What is the extreme+(x+1)/(1+1/(x+1)) ?
The extreme+(x+1)/(1+1/(x+1)) is Maximum(-3,-4)