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Mathematics 8 Online
OpenStudy (anonymous):

Differential equation stuff if sin(xy) = x, then dy/dx = ?

OpenStudy (anonymous):

@ganeshie8 @Kainui @iambatman

OpenStudy (anonymous):

\[\int\limits y = \int\limits \frac{ \sin^{-1} (x) }{ x }\] not sure what to do after this, is this even right?

OpenStudy (anonymous):

Seems this is just a implicit differentiation problem

OpenStudy (anonymous):

So find the derivative of sin(xy)=x so this requires chain rule and product rule

OpenStudy (anonymous):

so do you want me to find y' ?

OpenStudy (anonymous):

Yup

OpenStudy (anonymous):

dy/dx = y'

OpenStudy (anonymous):

\[\frac{ -y \cos(xy) + 1 }{ x \cos(yx) }\] ?

OpenStudy (anonymous):

Yup!

OpenStudy (anonymous):

wait is that it !?!

OpenStudy (anonymous):

Yup, that's dy/dx :)

OpenStudy (anonymous):

okay thank's for the help :D !!!

OpenStudy (anonymous):

Yw :)

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