What is the extreme f(x)=x+4/(x+1) ?

The extreme f(x)=x+4/(x+1) is Maximum(-3,-5),Minimum(1,3)

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extreme f(x)=x+4/(x+1)

extreme points

f (x) = x + \frac{4}{x + 1}

Maximum (- 3, - 5), Minimum (1, 3)

Solution steps

f^{'} (x) = 1 - \frac{4}{( x + 1 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 3

into

x + \frac{4}{x + 1} : - 5

Maximum (- 3, - 5)

Plug

x = 1

into

x + \frac{4}{x + 1} : 3

Minimum (1, 3)

Maximum (- 3, - 5), Minimum (1, 3)

f (t, 1) = 4 - x^{2} - 4 y^{2}

f (x) = 2 x^{3} - 15 x^{2} + 24 x

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

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

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

What is the extreme f(x)=x+4/(x+1) ?
The extreme f(x)=x+4/(x+1) is Maximum(-3,-5),Minimum(1,3)