What is the extreme (x^2-5)/(x+3) ?

The extreme (x^2-5)/(x+3) is Maximum(-5,-10),Minimum(-1,-2)

Popular >

extreme (x^2-5)/(x+3)

extreme points

\frac{x ^{2} - 5}{x + 3}

Maximum (- 5, - 10), Minimum (- 1, - 2)

Solution steps

f^{'} (x) = \frac{x ^{2} + 6 x + 5}{( x + 3 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 5,

Decreasing

: - 5 < x < - 3,

Decreasing

: - 3 < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 5

into

\frac{x ^{2} - 5}{x + 3} : - 10

Maximum (- 5, - 10)

Plug

x = - 1

into

\frac{x ^{2} - 5}{x + 3} : - 2

Minimum (- 1, - 2)

Maximum (- 5, - 10), Minimum (- 1, - 2)

f (x, y) = x^{2} - x y + y^{2} - 9 x + 6 y + 8

- x^{2} ln (x)

f (x) = \frac{3}{4 x ^{4} - 8 x ^{2}}

f (x) = x^{3} - 45 x^{2} + 243 x + 30000

f (x) = x^{3} - 27 x, - 2 \leq x \leq 4

What is the extreme (x^2-5)/(x+3) ?
The extreme (x^2-5)/(x+3) is Maximum(-5,-10),Minimum(-1,-2)