What is the extreme-sqrt(9-x^2) ?

The extreme-sqrt(9-x^2) is Maximum(-3,0),Minimum(0,-3),Maximum(3,0)

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extreme-sqrt(9-x^2)

extreme points

- 9 - x^{2}

Maximum (- 3, 0), Minimum (0, - 3), Maximum (3, 0)

Solution steps

f^{'} (x) = \frac{x}{9 - x ^{2}}

Find intervals:

Decreasing

: - 3 < x < 0,

Increasing

: 0 < x < 3

Plug

x = - 3

into

- 9 - x^{2} : 0

Maximum (- 3, 0)

Plug

x = 0

into

- 9 - x^{2} : - 3

Minimum (0, - 3)

Plug

x = 3

into

- 9 - x^{2} : 0

Maximum (3, 0)

Maximum (- 3, 0), Minimum (0, - 3), Maximum (3, 0)

What is the extreme-sqrt(9-x^2) ?
The extreme-sqrt(9-x^2) is Maximum(-3,0),Minimum(0,-3),Maximum(3,0)