Mathematics
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OpenStudy (anonymous):
How do you find the second partial derivative of f(x,y)=cos^2^xsin^2^y?

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OpenStudy (anonymous):
its impossible because the formula is wrong

OpenStudy (anonymous):
his yes it is

OpenStudy (anonymous):
were do you get asomthing like that lol

OpenStudy (anonymous):
it's f(x,y)=cos(squared)xsin(squared)y

OpenStudy (anonymous):
answer is 6

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OpenStudy (anonymous):
How did you get that??

OpenStudy (anonymous):
easy you do not know

OpenStudy (anonymous):
no that's why i'm asking... lol

OpenStudy (anonymous):
i can not tell you cuz ther is diff way to do it

OpenStudy (anonymous):
and i do not know how he did it

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OpenStudy (anonymous):
okay thanks

OpenStudy (anonymous):
whats the question

OpenStudy (anonymous):
How do you find the second partial derivative of f(x,y)=cos(squared)xsin(squared)y?

OpenStudy (anonymous):
with respect to what?

OpenStudy (anonymous):
we start with fx, and fy, then we get fxx, fxy, fyx and fyy,
notice that fxy = fyx

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OpenStudy (anonymous):
make me your fan and more information will come soon

OpenStudy (anonymous):
thanks lol

OpenStudy (anonymous):
ok with respect to what
so you want all the partial derivatives?
ok one sec

OpenStudy (anonymous):
with respect to all of them lol

OpenStudy (anonymous):
i will do this on paper

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OpenStudy (anonymous):
thanks a lot

OpenStudy (anonymous):
didnt post?

OpenStudy (anonymous):
how do do a partial derivative in respect to everything?

OpenStudy (anonymous):
nope...

OpenStudy (anonymous):
fx = sin^2 y * 2 cos x (-sin x), treat y as a constant

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OpenStudy (anonymous):
then it is in respect to x

OpenStudy (anonymous):
yes

OpenStudy (anonymous):
thats first partial wrt to x , wrt means with respect to

OpenStudy (anonymous):
fy = cos^2 x * 2 sin y cos y (treat x as a constant)

OpenStudy (anonymous):
oh. ok

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OpenStudy (anonymous):
so what is so difficult about this?

OpenStudy (anonymous):
I didn't know how to do it obviously...

OpenStudy (anonymous):
benito, not nice

OpenStudy (anonymous):
Thanks cantorset!!!

OpenStudy (anonymous):
now we find fxx, fxy, fyx, and fyy

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OpenStudy (anonymous):
whats cool, it turns out fxy = fyx always

OpenStudy (anonymous):
i see

OpenStudy (anonymous):
first fundamental theorem of partial derivatives