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anonymous
 3 years ago
dy/dx of y+1/2=sin(xy)+pie/3
anonymous
 3 years ago
dy/dx of y+1/2=sin(xy)+pie/3

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myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1\[\frac{d}{dx}(y+\frac{1}{2})=\frac{d}{dx}(\sin(xy)+ \frac{\pi}{3})\]

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1Distribute: \[\frac{d}{dx}(y)+\frac{d}{dx}(\frac{1}{2})=\frac{d}{dx}(\sin(xy))+\frac{d}{dx}(\frac{\pi}{3})\]

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1Recall derivative of a constant is 0 and also recall derivative of y with respect to x is dy/dx. Now are you having touble with the dsin(xy)/dx part?

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1\[\text{ hint: } \frac{d}{dx}(\sin(xy))= \text{ (By chain rule) } \frac{d}{dx}(xy) \cdot (\frac{d}{dx} \sin) (xy)\] Derivative of inside function times the derivative of the outside function (when taking derivative of outside make sure leave inside the same)
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