Practice problem
Find dydx\dfrac{dy}{dx}dxdy for xsiny=ysinxx\sin y=y\sin xxsiny=ysinx.
ycosx+sinyxcosy+sinx\dfrac{y\cos x+\sin y}{x\cos y+\sin x}xcosy+sinxycosx+siny
ycosx−sinyxcosy−sinx\dfrac{y\cos x-\sin y}{x\cos y-\sin x}xcosy−sinxycosx−siny
ysinx+cosyxsiny+cosx\dfrac{y\sin x+\cos y}{x\sin y+\cos x}xsiny+cosxysinx+cosy
ysinx−cosyxsiny+cosx\dfrac{y\sin x-\cos y}{x\sin y+\cos x}xsiny+cosxysinx−cosy
Type a concept, like “slope” or “photosynthesis”.