ksaimouli
(a)increasing (b) decreasing (c)local extreme values
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ksaimouli
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|dw:1353980630180:dw|
ksaimouli
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i took derivative =0 i got \[+-\sqrt{2}\]
Brittni0605
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Take the derivative, find the critical points, draw a number line, find y values of your critical points, determine local extrema and increasing/decreasing intervals.
ksaimouli
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should i need to include the domain restriciton in numberline @Brittni0605
Brittni0605
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If a restriction was given than yes.
ksaimouli
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+-2
ksaimouli
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no restriction is given
ksaimouli
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when i take derivative i set denominator=0 i got +-2
Brittni0605
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Ok, so your domain is negative infinity to infinity
ksaimouli
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yup
ksaimouli
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|dw:1353980936825:dw|
ksaimouli
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this is the derivative of teh funciton
Brittni0605
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Ok.
ksaimouli
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so the critical points are|dw:1353981108528:dw|
Brittni0605
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Yes.
ksaimouli
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should need to set the denominator to find domain of the function |dw:1353981161255:dw|
ksaimouli
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|dw:1353981180565:dw|
Brittni0605
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Yes, good number line
ksaimouli
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or|dw:1353981212350:dw|
ksaimouli
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that one or this one so confused
Brittni0605
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The first pic.
Brittni0605
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You're critical values are the x values where the derivative =0 or where the derivative doesnt exist.
ksaimouli
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then if i choose -3 to check whether it is + or - their is domain error
Brittni0605
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By setting the numerator equal to 0, you found where the derivative equals . By setting the denominator equal to 0, you found where the derivative doesnt exist
ksaimouli
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yup i know that one i set the number line can u plz figure out the +and- values
ksaimouli
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|dw:1353981465522:dw|
Brittni0605
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|dw:1353981469116:dw|
ksaimouli
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so increasing=|dw:1353981723064:dw|
ksaimouli
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dec|dw:1353981745781:dw|
Brittni0605
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Yes.
Brittni0605
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They didnt give you a domain, but bc of the type of prob, a domain was determined. You found out the function only exists between (-2,2)
ksaimouli
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max root2 and min -root2
ksaimouli
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so function exists (-2,2) but min and max at end enpoints undefinied am i right but it is good to check the domain
Brittni0605
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Um, you have to find the y values of your critical points
ksaimouli
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i know that i simple
ksaimouli
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esay
Brittni0605
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Lol, ok.
ksaimouli
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i hate typo
ksaimouli
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thx
Brittni0605
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Np. Hope I helped.