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Find (dy)/(dx) if 2x+3y=sinx...

Find `(dy)/(dx)` if `2x+3y=sinx`

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Differentiating throughout w.r.t.x, we get `d/dx(2x)+d/dx(3y)=d/dx(sinx)2+3(dy)/(dx)=cosx3(dy)/(dx)=cosx-2,(dy)/(dx)=(cosx-2)/3`
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