# What is the derivative of the function #y=sin(xy)#?

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What is the derivative of the function #y=sin(xy)# ?

What is the derivative of the function

##### 1 Answer

Oct 17, 2016

#### Explanation:

Using implicit differentiation, the product rule, and the chain rule, we get

#=cos(xy)[x(d/dxy)+y(d/dxx)]#

#=cos(xy)(xdy/dx + y)#

#=xcos(xy)dy/dx + ycos(xy)#