How do you use implicit differentiation to isolate dy/dx in this equation?

Question

4sin(x-y)=4ysinx

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Answer 1 · 2016-11-02T16:09:08

#(4cos(x-y)-4ycosx)/(4sinx+4cos(x-y)) = dy/dx#

#4sin(x-y)=4ysin x#

#4cos(x-y)-4cos(x-y)dy/dx = 4ycosx+4sinxdy/dx#

#4cos(x-y)-4ycosx=4sinxdy/dx+4cos(x-y)dy/dx#

#4cos(x-y)-4ycosx=(4sinx+4cos(x-y))dy/dx#

#(4cos(x-y)-4ycosx)/(4sinx+4cos(x-y)) = dy/dx#