What is the extreme sqrt(81-x^2) ?

The extreme sqrt(81-x^2) is Minimum(-9,0),Maximum(0,9),Minimum(9,0)

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extreme sqrt(81-x^2)

extreme points

81 - x^{2}

Minimum (- 9, 0), Maximum (0, 9), Minimum (9, 0)

Solution steps

f^{'} (x) = - \frac{x}{81 - x ^{2}}

Find intervals:

Increasing

: - 9 < x < 0,

Decreasing

: 0 < x < 9

Plug

x = - 9

into

81 - x^{2} : 0

Minimum (- 9, 0)

Plug

x = 0

into

81 - x^{2} : 9

Maximum (0, 9)

Plug

x = 9

into

81 - x^{2} : 0

Minimum (9, 0)

Minimum (- 9, 0), Maximum (0, 9), Minimum (9, 0)

f (x) = \frac{3 - 4 x}{x ^{2} + 1}, - 2 \leq x \leq 4

y = 4 x + 8 (\frac{20000}{x})

f (x) = (x^{2} + 4)^{2}

f (x) = 9 x^{2} - 72 x + 108

x^{4} + 3 x^{3} - 6

What is the extreme sqrt(81-x^2) ?
The extreme sqrt(81-x^2) is Minimum(-9,0),Maximum(0,9),Minimum(9,0)