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Popular >

extreme sqrt(9-x^2)

Solution

extreme points

9 - x^{2}

Solution

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

Solution steps

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

Find intervals:

Increasing

: - 3 < x < 0,

Decreasing

: 0 < x < 3

Plug

x = - 3

into

9 - x^{2} : 0

Minimum (- 3, 0)

Plug

x = 0

into

9 - x^{2} : 3

Maximum (0, 3)

Plug

x = 3

into

9 - x^{2} : 0

Minimum (3, 0)

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

Graph

Popular Examples

extreme f(x)=\sqrt[3]{x^3+3x^2}extreme points

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

extreme x^2(x-5)(x^2+4x+8)extreme points

x^{2} (x - 5) (x^{2} + 4 x + 8)

extreme f(x)=14^2+7xy-7/4 y^2-7x+4y extreme points

f (x) = 1 4^{2} + 7 x y - \frac{7}{4} y^{2} - 7 x + 4 y

extreme f(x)=-2x^2+3x+5 extreme points

f (x) = - 2 x^{2} + 3 x + 5

extreme f(x)=-2log_{10}(x-1)extreme points

f (x) = - 2 lo g_{10} (x - 1)

Frequently Asked Questions (FAQ)

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