What is the extreme (x^2-11)/(x+6) ?

The extreme (x^2-11)/(x+6) is Maximum(-11,-22),Minimum(-1,-2)

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extreme (x^2-11)/(x+6)

extreme points

\frac{x ^{2} - 11}{x + 6}

Maximum (- 11, - 22), Minimum (- 1, - 2)

Solution steps

f^{'} (x) = \frac{x ^{2} + 12 x + 11}{( x + 6 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 11,

Decreasing

: - 11 < x < - 6,

Decreasing

: - 6 < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 11

into

\frac{x ^{2} - 11}{x + 6} : - 22

Maximum (- 11, - 22)

Plug

x = - 1

into

\frac{x ^{2} - 11}{x + 6} : - 2

Minimum (- 1, - 2)

Maximum (- 11, - 22), Minimum (- 1, - 2)

f (x, y) = x^{3} - 12 x - 3 y + y^{3}

f (x) = - x^{3} + 3 x + 4

f (x) = \frac{x ^{2} - 8}{x + 3}

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

\frac{1}{3} (x - 2.1)^{2} + 7.9

What is the extreme (x^2-11)/(x+6) ?
The extreme (x^2-11)/(x+6) is Maximum(-11,-22),Minimum(-1,-2)