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Mathematics 18 Online
OpenStudy (anonymous):

Partial Derivative: sqrt[21]{x^{21}+y ^{21}} at Fx(0,0)

OpenStudy (anonymous):

wrt what?

OpenStudy (anonymous):

can u write that out in the equation

OpenStudy (anonymous):

easier to see what u want

OpenStudy (anonymous):

k so my answer is \[x^{21}/(x^{21}+y^{21})^{21}\]

OpenStudy (anonymous):

here ill repost

OpenStudy (anonymous):

what is the question tho.

OpenStudy (anonymous):

Find the partial derivative with respect to x at (0,0) --- \[\sqrt[21]{x^{21}+y ^{21}}\]

OpenStudy (anonymous):

i got the derivative, but when i plug in the 0,0... it comes out to 0, which for some reason the online program we use didn't accept

OpenStudy (anonymous):

guessing it's because there will be a 0 in the denominator.... so it should be "does not exist"???

OpenStudy (anonymous):

oh ok so it is (1/21)(x^21+y^21)^(1/20) * (21x^20)

OpenStudy (anonymous):

there are no fractions involved?....

OpenStudy (anonymous):

no fractions involved. the fraction one that i posted was the answer i got

OpenStudy (anonymous):

ya but your answer is wrong

OpenStudy (anonymous):

?? checked it with mathematica

OpenStudy (anonymous):

o right... entered it into open study wrong. answer should be \[x^{20}/(x^{21}+y^{21})^{20/21}\]

OpenStudy (anonymous):

oops i made a typo... answer is: (1/21)(x^21+y^21)^(1/20) * (21x^20) which reduces to what u just wrote now yes

OpenStudy (anonymous):

so the solution at (0,0) is undefined.

OpenStudy (anonymous):

ah ok thank you very much

OpenStudy (anonymous):

does not exist...

OpenStudy (anonymous):

slkdfjsalkdfjsldj wtf.... the online program says Does not exist is the wrong answer

OpenStudy (kira_yamato):

OpenStudy (anonymous):

grrrr welp out of tries to enter the answer in

OpenStudy (anonymous):

undefined didn't work either

OpenStudy (anonymous):

well its undefined...so either ur program is wrong or its just asking for something verbally equivalent to saying undefined

OpenStudy (anonymous):

dne

OpenStudy (anonymous):

try that

OpenStudy (anonymous):

tried 0, dne, and undefined. none of them worked

OpenStudy (anonymous):

well ur program is wrong cuz thats the answer

OpenStudy (anonymous):

hrm gonna have to talk to the teacher

OpenStudy (anonymous):

alright well thanks for the help

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