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Popular Functions >

extreme sqrt(1-x^2)

Solution

extreme points

1 - x^{2}

Solution

Minimum (- 1, 0), Maximum (0, 1), Minimum (1, 0)

Solution steps

f^{'} (x) = - \frac{x}{1 - x ^{2}}

Find intervals:

Increasing

: - 1 < x < 0,

Decreasing

: 0 < x < 1

Plug

x = - 1

into

1 - x^{2} : 0

Minimum (- 1, 0)

Plug

x = 0

into

1 - x^{2} : 1

Maximum (0, 1)

Plug

x = 1

into

1 - x^{2} : 0

Minimum (1, 0)

Minimum (- 1, 0), Maximum (0, 1), Minimum (1, 0)

Graph

Popular Examples

midpoint (-4,6),(8,-6)

mi d p o in t (- 4, 6), (8, - 6)

intercepts of f(x)=(x^2-1)/(x-2)

in t erce pt s f (x) = \frac{x ^{2} - 1}{x - 2}

inverse of h(x)=\sqrt[3]{x-3}

in v erse h (x) = 3 x - 3

asymptotes of f(x)=(x-2)/(x^2+1)

a sy m pt o t es f (x) = \frac{x - 2}{x ^{2} + 1}

inverse of 2+\sqrt[3]{2-3x}

in v erse 2 + 3 2 - 3 x

Frequently Asked Questions (FAQ)

What is the extreme sqrt(1-x^2) ?
The extreme sqrt(1-x^2) is Minimum(-1,0),Maximum(0,1),Minimum(1,0)