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Mathematics 9 Online
OpenStudy (anonymous):

partial derivative - az/ax z=arctan(y/x)

OpenStudy (anonymous):

hi

OpenStudy (anonymous):

i know tan-1 is 1/1+x^(2)

OpenStudy (anonymous):

so it's 1/1+[(y/x)]^2*something right?

OpenStudy (anonymous):

I can't even read the thing typed.

OpenStudy (anonymous):

what?

OpenStudy (anonymous):

so question is partial az/ax z=arctan(y/x)

OpenStudy (anonymous):

what does az/ax mean?

OpenStudy (anonymous):

partial derivative of arctan with respect to x?

OpenStudy (anonymous):

partial z / partial x

OpenStudy (anonymous):

'a' this isn't an alphabet a

OpenStudy (anonymous):

it's symbol of partial

OpenStudy (anonymous):

Try `\(\partial\)` \(\partial\)

OpenStudy (anonymous):

\(\partial\)z/\(\partial\)x z=\[\tan^{-1} (y/x)\]

OpenStudy (anonymous):

\(\partial\)z/\(\partial\)x z=\[\tan^{-1} (y/x)\]

OpenStudy (anonymous):

Okay so use chain rule.

OpenStudy (anonymous):

\[ \frac{\partial }{\partial x}\tan^{-1}\left(\frac yx\right) = \frac {-\frac{y}{x^2}}{\left(\frac yx\right)^2+1} \]

OpenStudy (anonymous):

That what I get when using chain rule.

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