What is the extreme (x^2+5x+11)/(x-2) ?

The extreme (x^2+5x+11)/(x-2) is Maximum(-3,-1),Minimum(7,19)

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extreme (x^2+5x+11)/(x-2)

extreme points

\frac{x ^{2} + 5 x + 11}{x - 2}

Maximum (- 3, - 1), Minimum (7, 19)

Solution steps

f^{'} (x) = \frac{x ^{2} - 4 x - 21}{( x - 2 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 2,

Decreasing

: 2 < x < 7,

Increasing

: 7 < x < \infty

Plug

x = - 3

into

\frac{x ^{2} + 5 x + 11}{x - 2} : - 1

Maximum (- 3, - 1)

Plug

x = 7

into

\frac{x ^{2} + 5 x + 11}{x - 2} : 19

Minimum (7, 19)

Maximum (- 3, - 1), Minimum (7, 19)

f (x, y) = 2 x^{4} - x^{2} + 3 y^{2}

5 x^{2} + 3, - 1 \leq x \leq 2

f (x) = x^{4} - 6 x^{\frac{3}{2}}, x > 0

f (0.1, 0) = (2 x - x^{2}) (2 y - y^{2})

f (x) = 600 t - 15 t^{2}

What is the extreme (x^2+5x+11)/(x-2) ?
The extreme (x^2+5x+11)/(x-2) is Maximum(-3,-1),Minimum(7,19)